Cremona's table of elliptic curves

3042 = 2 · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 13-	Signs for the Atkin-Lehner involutions
Class	3042g	Isogeny class
Conductor	3042	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	24960	Modular degree for the optimal curve
Δ	-30056884006861296 = -1 · 24 · 311 · 139	Discriminant
Eigenvalues	2+ 3- -2  2  0 13- -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,73737,3172365]	[a1,a2,a3,a4,a6]
Generators	[22:2181:1]	Generators of the group modulo torsion
j	5735339/3888	j-invariant
L	2.3550616847308	L(r)(E,1)/r!
Ω	0.2341682383906	Real period
R	5.028567710371	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	24336ce1 97344dc1 1014g1 76050fi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3042g1

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

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Quadratic twists for elliptic curve 3042g1

-4	8	-3	5	13
24336ce1	97344dc1	1014g1	76050fi1	3042n1

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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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