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	9490f	Isogeny class
Conductor	9490	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-25722065161000000 = -1 · 26 · 56 · 136 · 732	Discriminant
Eigenvalues	2+ -2 5-  2  0 13-  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-417318,104016056]	[a1,a2,a3,a4,a6]
j	-8037547790496078530521/25722065161000000	j-invariant
L	1.5129700633278	L(r)(E,1)/r!
Ω	0.37824251583195	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	75920p2 85410z2 47450t2 123370p2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490f2

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	-	2	0	-	6	2	6	6	8	2	-6	8	6	6	0	14	-16	6	-	8	-18	18	2

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Quadratic twists for elliptic curve 9490f2

-4	-3	5	13
75920p2	85410z2	47450t2	123370p2

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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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