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	9490k	Isogeny class
Conductor	9490	Conductor
∏ cp	60	Product of Tamagawa factors cp
Δ	-963828125000 = -1 · 23 · 510 · 132 · 73	Discriminant
Eigenvalues	2-  0 5-  0  6 13- -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2268,21839]	[a1,a2,a3,a4,a6]
Generators	[7:191:1]	Generators of the group modulo torsion
j	1290720982835439/963828125000	j-invariant
L	7.0762019439597	L(r)(E,1)/r!
Ω	0.56265216601326	Real period
R	0.83843416014302	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	75920n2 85410i2 47450a2 123370a2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490k2

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

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Quadratic twists for elliptic curve 9490k2

-4	-3	5	13
75920n2	85410i2	47450a2	123370a2

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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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