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	9490b	Isogeny class
Conductor	9490	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	7104	Modular degree for the optimal curve
Δ	3523570570 = 2 · 5 · 136 · 73	Discriminant
Eigenvalues	2+ -1 5- -1  1 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2407,-46381]	[a1,a2,a3,a4,a6]
Generators	[-3545:2871:125]	Generators of the group modulo torsion
j	1543241430303481/3523570570	j-invariant
L	2.6594049891705	L(r)(E,1)/r!
Ω	0.68165813646408	Real period
R	1.9506882166517	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	75920k1 85410s1 47450y1 123370n1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490b1

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
+	-1	-	-1	1	+	2	0	6	1	-4	3	-9	-12	-13	12	7	8	1	1	-	13	-16	-1	-12

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Quadratic twists for elliptic curve 9490b1

-4	-3	5	13
75920k1	85410s1	47450y1	123370n1

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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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