Cremona's table of elliptic curves

2790 = 2 · 3² · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 31+	Signs for the Atkin-Lehner involutions
Class	2790u	Isogeny class
Conductor	2790	Conductor
∏ cp	44	Product of Tamagawa factors cp
deg	3520	Modular degree for the optimal curve
Δ	-56233543680 = -1 · 211 · 311 · 5 · 31	Discriminant
Eigenvalues	2- 3- 5+  3 -3 -2 -8 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,877,-5709]	[a1,a2,a3,a4,a6]
Generators	[23:150:1]	Generators of the group modulo torsion
j	102437538839/77137920	j-invariant
L	4.6579736518141	L(r)(E,1)/r!
Ω	0.62409893755001	Real period
R	0.16962540900456	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	22320bs1 89280cj1 930c1 13950q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790u1

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	-3	-2	-8	-7	-7	8	+	-4	0	1	-6	-5	-6	2	10	-9	1	13	16	3	6

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Quadratic twists for elliptic curve 2790u1

-4	8	-3	5	-31
22320bs1	89280cj1	930c1	13950q1	86490cg1

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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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