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	9490m	Isogeny class
Conductor	9490	Conductor
∏ cp	324	Product of Tamagawa factors cp
deg	41472	Modular degree for the optimal curve
Δ	383641616384000 = 218 · 53 · 133 · 732	Discriminant
Eigenvalues	2- -2 5- -4  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-18180,-47600]	[a1,a2,a3,a4,a6]
Generators	[-120:700:1]	Generators of the group modulo torsion
j	664518141560070721/383641616384000	j-invariant
L	4.2597452951097	L(r)(E,1)/r!
Ω	0.44878307749527	Real period
R	1.0546409981222	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	75920q1 85410k1 47450e1 123370c1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490m1

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	0	-	0	2	0	-6	2	2	-6	8	0	-6	0	2	8	0	-	8	-12	-6	14

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Quadratic twists for elliptic curve 9490m1

-4	-3	5	13
75920q1	85410k1	47450e1	123370c1

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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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