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	2790l	Isogeny class
Conductor	2790	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-282404856360960 = -1 · 212 · 315 · 5 · 312	Discriminant
Eigenvalues	2+ 3- 5-  2  0 -4 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,12501,600453]	[a1,a2,a3,a4,a6]
j	296354077829711/387386634240	j-invariant
L	1.4769095391557	L(r)(E,1)/r!
Ω	0.36922738478892	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22320bv1 89280bq1 930n1 13950cp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2790l1

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
+	-	-	2	0	-4	-6	8	0	0	-	-4	6	8	12	6	6	2	2	6	8	8	-12	0	-10

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Quadratic twists for elliptic curve 2790l1

-4	8	-3	5	-31
22320bv1	89280bq1	930n1	13950cp1	86490bf1

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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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