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	32	Product of Tamagawa factors cp
Δ	2299226342400 = 210 · 312 · 52 · 132	Discriminant
Eigenvalues	2- 3- 5-  0 -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3747,-49714]	[a1,a2,a3,a4,a6]
Generators	[107:880:1]	Generators of the group modulo torsion
j	7793764996/3080025	j-invariant
L	3.9000713870072	L(r)(E,1)/r!
Ω	0.63127132026553	Real period
R	3.0890611230102	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	9360t2 37440bd2 1560a2 23400g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4680t2

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 4680t2

-4	8	-3	5	13
9360t2	37440bd2	1560a2	23400g2	60840g2

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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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