Cremona's table of elliptic curves

3680 = 2⁵ · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 23+	Signs for the Atkin-Lehner involutions
Class	3680j	Isogeny class
Conductor	3680	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-11776000 = -1 · 212 · 53 · 23	Discriminant
Eigenvalues	2- -2 5-  1  2 -4 -3  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-125,523]	[a1,a2,a3,a4,a6]
Generators	[1:20:1]	Generators of the group modulo torsion
j	-53157376/2875	j-invariant
L	2.7357896470607	L(r)(E,1)/r!
Ω	2.2329933080109	Real period
R	0.20419449513844	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3680c1 7360c1 33120l1 18400g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3680j1

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	-	1	2	-4	-3	4	+	3	-3	-3	-3	-4	0	-11	5	6	5	-5	-4	8	9	-10	-2

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Quadratic twists for elliptic curve 3680j1

-4	8	-3	5	-23
3680c1	7360c1	33120l1	18400g1	84640n1

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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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