Cremona's table of elliptic curves

3102 = 2 · 3 · 11 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 47-	Signs for the Atkin-Lehner involutions
Class	3102h	Isogeny class
Conductor	3102	Conductor
∏ cp	35	Product of Tamagawa factors cp
deg	47040	Modular degree for the optimal curve
Δ	-85452760683683712 = -1 · 27 · 37 · 113 · 475	Discriminant
Eigenvalues	2- 3+  2 -4 11+  4 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-79572,16472853]	[a1,a2,a3,a4,a6]
Generators	[-39:4437:1]	Generators of the group modulo torsion
j	-55719200359209436993/85452760683683712	j-invariant
L	4.3225631855077	L(r)(E,1)/r!
Ω	0.3060942772437	Real period
R	0.40347636163708	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24816v1 99264ba1 9306e1 77550p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3102h1

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
-	+	2	-4	+	4	-3	-6	-1	1	-10	6	-6	4	-	-3	-13	11	-11	8	-11	6	-6	0	-19

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Quadratic twists for elliptic curve 3102h1

-4	8	-3	5	-11
24816v1	99264ba1	9306e1	77550p1	34122f1

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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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