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	5082x	Isogeny class
Conductor	5082	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	42240	Modular degree for the optimal curve
Δ	-183014467984656 = -1 · 24 · 32 · 72 · 1110	Discriminant
Eigenvalues	2- 3+ -3 7- 11-  5  1  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-102792,-12744423]	[a1,a2,a3,a4,a6]
j	-4631003113/7056	j-invariant
L	2.1328485904816	L(r)(E,1)/r!
Ω	0.1333030369051	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40656cs1 15246x1 127050dc1 35574dh1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5082x1

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	-	-	5	1	6	-4	1	-6	-3	9	-10	-10	3	-2	6	8	-6	6	6	16	-17	13

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Quadratic twists for elliptic curve 5082x1

-4	-3	5	-7	-11
40656cs1	15246x1	127050dc1	35574dh1	5082d1

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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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