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	9490g	Isogeny class
Conductor	9490	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	31582720 = 29 · 5 · 132 · 73	Discriminant
Eigenvalues	2+  3 5-  3 -3 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-169,845]	[a1,a2,a3,a4,a6]
j	535585155561/31582720	j-invariant
L	4.0992849886451	L(r)(E,1)/r!
Ω	2.0496424943226	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	75920t1 85410bb1 47450v1 123370q1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490g1

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
+	3	-	3	-3	-	2	0	6	9	-8	3	-9	8	-9	12	3	8	-3	5	-	-15	16	-9	-8

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Quadratic twists for elliptic curve 9490g1

-4	-3	5	13
75920t1	85410bb1	47450v1	123370q1

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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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