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	2320b	Isogeny class
Conductor	2320	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	26912000 = 28 · 53 · 292	Discriminant
Eigenvalues	2+ -2 5+  4  0 -2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-676,6540]	[a1,a2,a3,a4,a6]
Generators	[-14:116:1]	Generators of the group modulo torsion
j	133649126224/105125	j-invariant
L	2.3409182078589	L(r)(E,1)/r!
Ω	2.0942601234004	Real period
R	1.1177781507189	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	1160a2 9280t2 20880bc2 11600e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2320b2

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

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Quadratic twists for elliptic curve 2320b2

-4	8	-3	5	-7	29
1160a2	9280t2	20880bc2	11600e2	113680g2	67280a2

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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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