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
deg	2560	Modular degree for the optimal curve
Δ	1385540 = 22 · 5 · 13 · 732	Discriminant
Eigenvalues	2- -2 5-  4 -4 13- -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-50,-128]	[a1,a2,a3,a4,a6]
Generators	[-34:45:8]	Generators of the group modulo torsion
j	13841287201/1385540	j-invariant
L	5.400594683742	L(r)(E,1)/r!
Ω	1.8067718105053	Real period
R	2.9890850921742	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	75920r1 85410j1 47450f1 123370d1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490l1

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 9490l1

-4	-3	5	13
75920r1	85410j1	47450f1	123370d1

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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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