Cremona's table of elliptic curves

4680 = 2³ · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	4680h	Isogeny class
Conductor	4680	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-36391680 = -1 · 28 · 37 · 5 · 13	Discriminant
Eigenvalues	2+ 3- 5+ -5 -1 13-  3  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3108,66692]	[a1,a2,a3,a4,a6]
Generators	[34:-18:1]	Generators of the group modulo torsion
j	-17790954496/195	j-invariant
L	3.0427746460559	L(r)(E,1)/r!
Ω	1.8652501359017	Real period
R	0.20391197053747	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	9360p1 37440cm1 1560l1 23400bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680h1

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
+	-	+	-5	-1	-	3	6	7	-6	-2	1	-7	8	-2	-13	8	-7	12	-1	-10	3	-8	-13	7

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Quadratic twists for elliptic curve 4680h1

-4	8	-3	5	13
9360p1	37440cm1	1560l1	23400bl1	60840cb1

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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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