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	3102j	Isogeny class
Conductor	3102	Conductor
∏ cp	35	Product of Tamagawa factors cp
deg	1120	Modular degree for the optimal curve
Δ	-16080768 = -1 · 27 · 35 · 11 · 47	Discriminant
Eigenvalues	2- 3-  0 -2 11+ -4 -7  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-308,2064]	[a1,a2,a3,a4,a6]
Generators	[16:-44:1]	Generators of the group modulo torsion
j	-3231945186625/16080768	j-invariant
L	5.322063614022	L(r)(E,1)/r!
Ω	2.2147608181991	Real period
R	0.068657057299883	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	24816q1 99264h1 9306g1 77550b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3102j1

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	-2	+	-4	-7	4	-9	-3	-2	4	0	4	+	-1	-1	-3	-1	8	11	2	12	-2	-11

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Quadratic twists for elliptic curve 3102j1

-4	8	-3	5	-11
24816q1	99264h1	9306g1	77550b1	34122k1

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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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