Cremona's table of elliptic curves

2490 = 2 · 3 · 5 · 83

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 83-	Signs for the Atkin-Lehner involutions
Class	2490h	Isogeny class
Conductor	2490	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-413340 = -1 · 22 · 3 · 5 · 832	Discriminant
Eigenvalues	2- 3+ 5-  2  4 -6 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-55,137]	[a1,a2,a3,a4,a6]
j	-18420660721/413340	j-invariant
L	2.9871268555237	L(r)(E,1)/r!
Ω	2.9871268555237	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	19920p1 79680n1 7470c1 12450e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2490h1

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

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Quadratic twists for elliptic curve 2490h1

-4	8	-3	5	-7
19920p1	79680n1	7470c1	12450e1	122010ct1

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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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