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	2790r	Isogeny class
Conductor	2790	Conductor
∏ cp	180	Product of Tamagawa factors cp
Δ	4185000000000 = 29 · 33 · 510 · 31	Discriminant
Eigenvalues	2- 3+ 5-  0 -2 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-253757,49264389]	[a1,a2,a3,a4,a6]
Generators	[447:-5224:1]	Generators of the group modulo torsion
j	66928707375050045043/155000000000	j-invariant
L	4.8114029889686	L(r)(E,1)/r!
Ω	0.67314323411168	Real period
R	0.15883702160748	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	22320ba2 89280a2 2790a2 13950b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790r2

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

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Quadratic twists for elliptic curve 2790r2

-4	8	-3	5	-31
22320ba2	89280a2	2790a2	13950b2	86490cb2

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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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