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	9490l	Isogeny class
Conductor	9490	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	616850 = 2 · 52 · 132 · 73	Discriminant
Eigenvalues	2- -2 5-  4 -4 13- -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-780,-8450]	[a1,a2,a3,a4,a6]
Generators	[17160:20995:512]	Generators of the group modulo torsion
j	52485860157121/616850	j-invariant
L	5.400594683742	L(r)(E,1)/r!
Ω	0.90338590525266	Real period
R	5.9781701843483	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	75920r2 85410j2 47450f2 123370d2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490l2

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	-4	-	-4	2	-4	-6	2	-6	10	4	-8	2	-12	-14	8	-12	-	0	-12	10	-18

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Quadratic twists for elliptic curve 9490l2

-4	-3	5	13
75920r2	85410j2	47450f2	123370d2

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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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