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	3680h	Isogeny class
Conductor	3680	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	4032	Modular degree for the optimal curve
Δ	-3893440000000 = -1 · 212 · 57 · 233	Discriminant
Eigenvalues	2-  2 5+ -1 -2  0 -1  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,99,94901]	[a1,a2,a3,a4,a6]
Generators	[-25:276:1]	Generators of the group modulo torsion
j	25934336/950546875	j-invariant
L	4.3991439688402	L(r)(E,1)/r!
Ω	0.61978229893874	Real period
R	1.1829809640076	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	3680a1 7360o1 33120o1 18400d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3680h1

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	0	-1	4	-	-5	-7	-1	5	-4	-4	-1	9	-10	3	-9	4	-4	-17	6	-14

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Quadratic twists for elliptic curve 3680h1

-4	8	-3	5	-23
3680a1	7360o1	33120o1	18400d1	84640s1

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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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