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	2790b	Isogeny class
Conductor	2790	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-24406920 = -1 · 23 · 39 · 5 · 31	Discriminant
Eigenvalues	2+ 3+ 5+ -3  5  0  2 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-15,-235]	[a1,a2,a3,a4,a6]
Generators	[13:34:1]	Generators of the group modulo torsion
j	-19683/1240	j-invariant
L	2.2278034833199	L(r)(E,1)/r!
Ω	0.93616890462471	Real period
R	1.1898512503003	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	22320w1 89280r1 2790s1 13950bu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790b1

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	5	0	2	-1	-7	-4	+	-8	12	-1	12	5	8	-6	-2	3	-15	-1	-6	-15	16

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Quadratic twists for elliptic curve 2790b1

-4	8	-3	5	-31
22320w1	89280r1	2790s1	13950bu1	86490b1

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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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