Cremona's table of elliptic curves

23120 = 2⁴ · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17+	Signs for the Atkin-Lehner involutions
Class	23120bl	Isogeny class
Conductor	23120	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2350080	Modular degree for the optimal curve
Δ	-2.7058212098012E+21	Discriminant
Eigenvalues	2-  3 5- -1  2 -6 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5595907,-5676588286]	[a1,a2,a3,a4,a6]
Generators	[83654564025960052342772406174340495639641165988465789444850625:10084280539308073741071955218570911878969939114474522827029105122:5602469498577984917445133873605991819597057532185954452591]	Generators of the group modulo torsion
j	-2346853689/327680	j-invariant
L	9.5119556064172	L(r)(E,1)/r!
Ω	0.048702159344244	Real period
R	97.654351824354	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2890k1 92480dn1 115600cd1 23120z1	Quadratic twists by: -4 8 5 17

Hecke Eigenvalues for elliptic curve 23120bl1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	3	-	-1	2	-6	+	-6	3	6	0	-10	-9	-12	-8	12	6	2	11	-6	-12	0	-9	-3	-10

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Quadratic twists for elliptic curve 23120bl1

-4	8	5	17
2890k1	92480dn1	115600cd1	23120z1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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