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	4	Product of Tamagawa factors cp
Δ	1076480 = 28 · 5 · 292	Discriminant
Eigenvalues	2+  2 5+  0 -4 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-36,80]	[a1,a2,a3,a4,a6]
Generators	[-4:12:1]	Generators of the group modulo torsion
j	20720464/4205	j-invariant
L	3.8742427365052	L(r)(E,1)/r!
Ω	2.6138444881189	Real period
R	1.482200932043	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	1160b2 9280v2 20880w2 11600f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2320a2

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 2320a2

-4	8	-3	5	-7	29
1160b2	9280v2	20880w2	11600f2	113680l2	67280c2

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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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