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	2790j	Isogeny class
Conductor	2790	Conductor
∏ cp	52	Product of Tamagawa factors cp
deg	37440	Modular degree for the optimal curve
Δ	-5958720703125000 = -1 · 23 · 39 · 513 · 31	Discriminant
Eigenvalues	2+ 3- 5-  3 -5 -6  4  5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-207459,-36507587]	[a1,a2,a3,a4,a6]
Generators	[1277:41549:1]	Generators of the group modulo torsion
j	-1354547383894636849/8173828125000	j-invariant
L	2.7026336976782	L(r)(E,1)/r!
Ω	0.1118097680832	Real period
R	0.46484064716665	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	22320cf1 89280bg1 930l1 13950cl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790j1

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	-6	4	5	-5	-8	+	4	0	-7	-6	-11	-14	-6	10	9	-3	-7	12	9	10

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Quadratic twists for elliptic curve 2790j1

-4	8	-3	5	-31
22320cf1	89280bg1	930l1	13950cl1	86490bh1

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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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