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	23120o	Isogeny class
Conductor	23120	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	2012364800 = 214 · 52 · 173	Discriminant
Eigenvalues	2-  0 5+ -2  4 -2 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-323,578]	[a1,a2,a3,a4,a6]
Generators	[-17:34:1] [-1:30:1]	Generators of the group modulo torsion
j	185193/100	j-invariant
L	7.0580908444716	L(r)(E,1)/r!
Ω	1.286220673548	Real period
R	1.3718662336927	Regulator
r	2	Rank of the group of rational points
S	0.99999999999996	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2890a1 92480du1 115600bc1 23120bb1	Quadratic twists by: -4 8 5 17

Hecke Eigenvalues for elliptic curve 23120o1

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
-	0	+	-2	4	-2	+	-8	-6	-6	-10	-2	-4	-8	0	-10	4	-10	4	10	-12	6	0	2	-16

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Quadratic twists for elliptic curve 23120o1

-4	8	5	17
2890a1	92480du1	115600bc1	23120bb1

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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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