Cremona's table of elliptic curves

4810 = 2 · 5 · 13 · 37

Field	Data	Notes
Atkin-Lehner	2- 5- 13- 37-	Signs for the Atkin-Lehner involutions
Class	4810h	Isogeny class
Conductor	4810	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	1266932836000000 = 28 · 56 · 132 · 374	Discriminant
Eigenvalues	2-  0 5-  0  0 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-47712,3639299]	[a1,a2,a3,a4,a6]
Generators	[-203:2321:1]	Generators of the group modulo torsion
j	12011522078381443281/1266932836000000	j-invariant
L	5.6271012635556	L(r)(E,1)/r!
Ω	0.46962564785326	Real period
R	0.49925414789401	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	38480v2 43290p2 24050a2 62530a2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4810h2

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

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Quadratic twists for elliptic curve 4810h2

-4	-3	5	13
38480v2	43290p2	24050a2	62530a2

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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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