Cremona's table of elliptic curves

5082 = 2 · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	5082ba	Isogeny class
Conductor	5082	Conductor
∏ cp	4160	Product of Tamagawa factors cp
Δ	2.9586199245424E+23	Discriminant
Eigenvalues	2- 3-  0 7- 11- -6 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-54720498,-153593016444]	[a1,a2,a3,a4,a6]
Generators	[-4368:47922:1]	Generators of the group modulo torsion
j	10228636028672744397625/167006381634183168	j-invariant
L	6.5011714647795	L(r)(E,1)/r!
Ω	0.055563803069852	Real period
R	0.11250357360498	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	40656bf2 15246p2 127050m2 35574bz2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5082ba2

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	-	-	-6	-4	-6	-4	-6	-2	10	4	-8	-6	-10	0	2	-4	16	-12	16	2	-6	-6

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Quadratic twists for elliptic curve 5082ba2

-4	-3	5	-7	-11
40656bf2	15246p2	127050m2	35574bz2	462d2

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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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