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	3090f	Isogeny class
Conductor	3090	Conductor
∏ cp	154	Product of Tamagawa factors cp
deg	11088	Modular degree for the optimal curve
Δ	-91230705000000 = -1 · 26 · 311 · 57 · 103	Discriminant
Eigenvalues	2+ 3- 5- -3  0  4  1 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,5662,-428812]	[a1,a2,a3,a4,a6]
Generators	[69:505:1]	Generators of the group modulo torsion
j	20079068607095399/91230705000000	j-invariant
L	2.988313848538	L(r)(E,1)/r!
Ω	0.30427154682	Real period
R	0.063774071492779	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	24720p1 98880f1 9270t1 15450y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3090f1

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
+	-	-	-3	0	4	1	-6	-6	-6	-3	-9	0	2	5	0	8	3	-8	-8	11	-14	-2	-15	-2

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Quadratic twists for elliptic curve 3090f1

-4	8	-3	5
24720p1	98880f1	9270t1	15450y1

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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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