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	360	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-21255782400000 = -1 · 218 · 33 · 55 · 312	Discriminant
Eigenvalues	2- 3+ 5-  0 -2 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-15677,791301]	[a1,a2,a3,a4,a6]
Generators	[-49:1224:1]	Generators of the group modulo torsion
j	-15780576012359283/787251200000	j-invariant
L	4.8114029889686	L(r)(E,1)/r!
Ω	0.67314323411168	Real period
R	0.079418510803739	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	22320ba1 89280a1 2790a1 13950b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790r1

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 2790r1

-4	8	-3	5	-31
22320ba1	89280a1	2790a1	13950b1	86490cb1

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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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