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	6490c	Isogeny class
Conductor	6490	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	4480	Modular degree for the optimal curve
Δ	17013145600 = 220 · 52 · 11 · 59	Discriminant
Eigenvalues	2+  0 5+ -2 11-  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1720,-26304]	[a1,a2,a3,a4,a6]
j	562925697426009/17013145600	j-invariant
L	0.74269184690298	L(r)(E,1)/r!
Ω	0.74269184690298	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	51920k1 58410bk1 32450r1 71390h1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6490c1

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	-	2	0	-4	6	6	4	-4	-10	4	-10	-2	+	2	-14	-8	-6	0	-4	6	8

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Quadratic twists for elliptic curve 6490c1

-4	-3	5	-11
51920k1	58410bk1	32450r1	71390h1

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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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