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	2490g	Isogeny class
Conductor	2490	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	896400 = 24 · 33 · 52 · 83	Discriminant
Eigenvalues	2- 3+ 5-  0 -2 -4  0 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-40,-103]	[a1,a2,a3,a4,a6]
Generators	[-5:3:1]	Generators of the group modulo torsion
j	7088952961/896400	j-invariant
L	4.0991904767348	L(r)(E,1)/r!
Ω	1.9139204416904	Real period
R	1.0708884202925	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19920r1 79680s1 7470f1 12450h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2490g1

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

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Quadratic twists for elliptic curve 2490g1

-4	8	-3	5	-7
19920r1	79680s1	7470f1	12450h1	122010db1

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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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