Cremona's table of elliptic curves

3090 = 2 · 3 · 5 · 103

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 103-	Signs for the Atkin-Lehner involutions
Class	3090c	Isogeny class
Conductor	3090	Conductor
∏ cp	54	Product of Tamagawa factors cp
deg	18144	Modular degree for the optimal curve
Δ	-1720651643280000 = -1 · 27 · 39 · 54 · 1033	Discriminant
Eigenvalues	2+ 3- 5+  2  3 -4  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-25379,2528606]	[a1,a2,a3,a4,a6]
Generators	[78:973:1]	Generators of the group modulo torsion
j	-1807684483034720809/1720651643280000	j-invariant
L	2.9975281094536	L(r)(E,1)/r!
Ω	0.43050994075108	Real period
R	1.1604564051893	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	24720i1 98880o1 9270x1 15450t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3090c1

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	3	-4	0	-7	-3	-3	-7	-7	6	2	-12	-6	6	-4	8	6	2	-10	0	15	-13

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Quadratic twists for elliptic curve 3090c1

-4	8	-3	5
24720i1	98880o1	9270x1	15450t1

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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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