Cremona's table of elliptic curves

2320 = 2⁴ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 29+	Signs for the Atkin-Lehner involutions
Class	2320h	Isogeny class
Conductor	2320	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	1682000 = 24 · 53 · 292	Discriminant
Eigenvalues	2-  0 5-  2  4 -6 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-32,31]	[a1,a2,a3,a4,a6]
Generators	[-3:10:1]	Generators of the group modulo torsion
j	226492416/105125	j-invariant
L	3.3469067401573	L(r)(E,1)/r!
Ω	2.378557491027	Real period
R	0.93807745598843	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	580b1 9280n1 20880bz1 11600p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2320h1

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

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Quadratic twists for elliptic curve 2320h1

-4	8	-3	5	-7	29
580b1	9280n1	20880bz1	11600p1	113680z1	67280w1

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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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