Cremona's table of elliptic curves

9490 = 2 · 5 · 13 · 73

Field	Data	Notes
Atkin-Lehner	2+ 5- 13- 73+	Signs for the Atkin-Lehner involutions
Class	9490c	Isogeny class
Conductor	9490	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	192640	Modular degree for the optimal curve
Δ	1712060657116160 = 210 · 5 · 137 · 732	Discriminant
Eigenvalues	2+  2 5-  0  0 13- -4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-6537082,6430431636]	[a1,a2,a3,a4,a6]
Generators	[1395:4626:1]	Generators of the group modulo torsion
j	30894104702580488978080681/1712060657116160	j-invariant
L	4.8525275571537	L(r)(E,1)/r!
Ω	0.35488078939816	Real period
R	1.953383342125	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	75920l1 85410v1 47450w1 123370u1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490c1

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	0	-	-4	-2	0	-2	2	-2	-6	4	4	-6	-8	2	-16	12	+	8	4	-6	2

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Quadratic twists for elliptic curve 9490c1

-4	-3	5	13
75920l1	85410v1	47450w1	123370u1

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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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