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	2320a	Isogeny class
Conductor	2320	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	11600 = 24 · 52 · 29	Discriminant
Eigenvalues	2+  2 5+  0 -4 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-11,-10]	[a1,a2,a3,a4,a6]
Generators	[74:195:8]	Generators of the group modulo torsion
j	10061824/725	j-invariant
L	3.8742427365052	L(r)(E,1)/r!
Ω	2.6138444881189	Real period
R	2.9644018640859	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	1160b1 9280v1 20880w1 11600f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2320a1

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

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Quadratic twists for elliptic curve 2320a1

-4	8	-3	5	-7	29
1160b1	9280v1	20880w1	11600f1	113680l1	67280c1

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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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