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	3102a	Isogeny class
Conductor	3102	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-96087552 = -1 · 29 · 3 · 113 · 47	Discriminant
Eigenvalues	2+ 3+  2  0 11+ -4 -1  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,11,-467]	[a1,a2,a3,a4,a6]
Generators	[9:17:1]	Generators of the group modulo torsion
j	127263527/96087552	j-invariant
L	2.4017877745911	L(r)(E,1)/r!
Ω	0.88593630810817	Real period
R	2.7110163028761	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	24816x1 99264t1 9306q1 77550bv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3102a1

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	0	+	-4	-1	6	-3	5	-2	-2	2	-8	+	-11	-1	-7	7	12	1	-6	-6	-8	5

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Quadratic twists for elliptic curve 3102a1

-4	8	-3	5	-11
24816x1	99264t1	9306q1	77550bv1	34122n1

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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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