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	9490h	Isogeny class
Conductor	9490	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-6.2798010646973E+20	Discriminant
Eigenvalues	2-  2 5+ -4  2 13+ -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3462161,2755678483]	[a1,a2,a3,a4,a6]
Generators	[-31086561:2582997946:35937]	Generators of the group modulo torsion
j	-4589501325834049209529489/627980106469726562500	j-invariant
L	7.753905949027	L(r)(E,1)/r!
Ω	0.15717568676054	Real period
R	12.333182868226	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	75920i2 85410m2 47450i2 123370i2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 9490h2

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	2	+	-2	6	-6	2	2	6	-6	-6	4	-6	-10	2	4	-10	-	4	-8	-14	-18

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Quadratic twists for elliptic curve 9490h2

-4	-3	5	13
75920i2	85410m2	47450i2	123370i2

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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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