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	4680t	Isogeny class
Conductor	4680	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	51573415495680 = 211 · 318 · 5 · 13	Discriminant
Eigenvalues	2- 3- 5-  0 -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-27147,1686566]	[a1,a2,a3,a4,a6]
Generators	[1090:5753:8]	Generators of the group modulo torsion
j	1481943889298/34543665	j-invariant
L	3.9000713870072	L(r)(E,1)/r!
Ω	0.63127132026553	Real period
R	6.1781222460205	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	9360t3 37440bd3 1560a3 23400g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680t4

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	-4	-	2	-4	-4	6	-4	6	2	12	-8	-14	-12	-2	0	-8	-2	8	-12	-6	-10

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Quadratic twists for elliptic curve 4680t4

-4	8	-3	5	13
9360t3	37440bd3	1560a3	23400g3	60840g3

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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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