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	36	Product of Tamagawa factors cp
Δ	629550381362240 = 26 · 5 · 13 · 736	Discriminant
Eigenvalues	2- -2 5- -4  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1037380,-406766640]	[a1,a2,a3,a4,a6]
Generators	[-588:336:1]	Generators of the group modulo torsion
j	123463149303741497939521/629550381362240	j-invariant
L	4.2597452951097	L(r)(E,1)/r!
Ω	0.14959435916509	Real period
R	3.1639229943666	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	75920q3 85410k3 47450e3 123370c3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490m3

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 9490m3

-4	-3	5	13
75920q3	85410k3	47450e3	123370c3

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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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