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	4680d	Isogeny class
Conductor	4680	Conductor
∏ cp	280	Product of Tamagawa factors cp
deg	13440	Modular degree for the optimal curve
Δ	-200498220000000 = -1 · 28 · 33 · 57 · 135	Discriminant
Eigenvalues	2+ 3+ 5- -3  3 13- -3  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1668,680756]	[a1,a2,a3,a4,a6]
Generators	[862:25350:1]	Generators of the group modulo torsion
j	74251994112/29007265625	j-invariant
L	3.7967167400721	L(r)(E,1)/r!
Ω	0.43854456227316	Real period
R	0.030919782867285	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	9360h1 37440d1 4680l1 23400ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680d1

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
+	+	-	-3	3	-	-3	4	-3	-10	-6	-5	5	2	2	-11	4	1	-4	3	6	3	16	7	-19

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Quadratic twists for elliptic curve 4680d1

-4	8	-3	5	13
9360h1	37440d1	4680l1	23400ba1	60840bh1

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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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