Cremona's table of elliptic curves

9790 = 2 · 5 · 11 · 89

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 89+	Signs for the Atkin-Lehner involutions
Class	9790l	Isogeny class
Conductor	9790	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	276480	Modular degree for the optimal curve
Δ	10090811456000000 = 212 · 56 · 116 · 89	Discriminant
Eigenvalues	2- -2 5+  2 11- -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3287436,2293935760]	[a1,a2,a3,a4,a6]
Generators	[-1840:46900:1]	Generators of the group modulo torsion
j	3929123145025705846673089/10090811456000000	j-invariant
L	4.5580322247376	L(r)(E,1)/r!
Ω	0.35296603775301	Real period
R	3.2283787512208	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	78320t1 88110bi1 48950i1 107690d1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9790l1

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

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Quadratic twists for elliptic curve 9790l1

-4	-3	5	-11
78320t1	88110bi1	48950i1	107690d1

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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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