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	3680g	Isogeny class
Conductor	3680	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3581964800 = 29 · 52 · 234	Discriminant
Eigenvalues	2-  0 5+  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-443,2142]	[a1,a2,a3,a4,a6]
Generators	[-7:70:1]	Generators of the group modulo torsion
j	18778674312/6996025	j-invariant
L	3.2934143695729	L(r)(E,1)/r!
Ω	1.2829677237114	Real period
R	2.5670282336064	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3680d2 7360y3 33120n3 18400a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3680g3

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
-	0	+	0	4	-2	2	-4	-	-2	8	10	-6	-12	0	-6	0	10	-4	-16	-6	-8	-4	10	2

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Quadratic twists for elliptic curve 3680g3

-4	8	-3	5	-23
3680d2	7360y3	33120n3	18400a3	84640p3

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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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