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	2790f	Isogeny class
Conductor	2790	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-12869712000 = -1 · 27 · 33 · 53 · 313	Discriminant
Eigenvalues	2+ 3+ 5- -1 -3 -4  6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,561,1773]	[a1,a2,a3,a4,a6]
Generators	[-3:9:1]	Generators of the group modulo torsion
j	722458663317/476656000	j-invariant
L	2.487984376393	L(r)(E,1)/r!
Ω	0.79095610922565	Real period
R	1.5727701874815	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	22320z1 89280j1 2790q2 13950bx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790f1

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 2790f1

-4	8	-3	5	-31
22320z1	89280j1	2790q2	13950bx1	86490i1

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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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