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	2790q	Isogeny class
Conductor	2790	Conductor
∏ cp	42	Product of Tamagawa factors cp
Δ	-9382020048000 = -1 · 27 · 39 · 53 · 313	Discriminant
Eigenvalues	2- 3+ 5+ -1  3 -4 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,5047,-52919]	[a1,a2,a3,a4,a6]
Generators	[73:800:1]	Generators of the group modulo torsion
j	722458663317/476656000	j-invariant
L	4.4404505885344	L(r)(E,1)/r!
Ω	0.41522052130625	Real period
R	0.25462376878706	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	22320t2 89280v2 2790f1 13950h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790q2

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
-	+	+	-1	3	-4	-6	-1	-3	0	-	-4	0	-1	-12	9	0	-10	-10	15	-7	5	-6	15	-16

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Quadratic twists for elliptic curve 2790q2

-4	8	-3	5	-31
22320t2	89280v2	2790f1	13950h2	86490bw2

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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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