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	8	Product of Tamagawa factors cp
Δ	2355200 = 212 · 52 · 23	Discriminant
Eigenvalues	2-  0 5+  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3068,-65408]	[a1,a2,a3,a4,a6]
Generators	[66:140:1]	Generators of the group modulo torsion
j	779704121664/575	j-invariant
L	3.2934143695729	L(r)(E,1)/r!
Ω	0.6414838618557	Real period
R	2.5670282336064	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	3680d3 7360y1 33120n4 18400a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3680g2

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 3680g2

-4	8	-3	5	-23
3680d3	7360y1	33120n4	18400a2	84640p4

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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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