Cremona's table of elliptic curves

6490 = 2 · 5 · 11 · 59

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+ 59+	Signs for the Atkin-Lehner involutions
Class	6490a	Isogeny class
Conductor	6490	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-4212010 = -1 · 2 · 5 · 112 · 592	Discriminant
Eigenvalues	2+  0 5+  4 11+ -2 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,40,-30]	[a1,a2,a3,a4,a6]
Generators	[3:9:1]	Generators of the group modulo torsion
j	6978821031/4212010	j-invariant
L	2.9327922597197	L(r)(E,1)/r!
Ω	1.4321778422956	Real period
R	2.04778496993	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	51920s2 58410bt2 32450l2 71390i2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6490a2

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	+	4	+	-2	-4	4	-4	4	2	2	2	8	-8	6	+	-14	2	16	-6	-10	4	-18	-4

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Quadratic twists for elliptic curve 6490a2

-4	-3	5	-11
51920s2	58410bt2	32450l2	71390i2

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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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