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	23120bh	Isogeny class
Conductor	23120	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-17857939048960000 = -1 · 212 · 54 · 178	Discriminant
Eigenvalues	2-  2 5- -2  2  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-16280,6484400]	[a1,a2,a3,a4,a6]
Generators	[3610:216750:1]	Generators of the group modulo torsion
j	-4826809/180625	j-invariant
L	7.9796289498521	L(r)(E,1)/r!
Ω	0.3232913686096	Real period
R	3.0853085345932	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1445d2 92480dk2 115600ca2 1360g2	Quadratic twists by: -4 8 5 17

Hecke Eigenvalues for elliptic curve 23120bh2

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
-	2	-	-2	2	2	+	0	6	6	-10	-2	-10	-4	-12	-10	-8	14	-8	-2	14	-14	-4	6	-2

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Quadratic twists for elliptic curve 23120bh2

-4	8	5	17
1445d2	92480dk2	115600ca2	1360g2

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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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