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
Δ	1.9887592937606E+20	Discriminant
Eigenvalues	2- -2 5+  2 11- -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3327436,2235239760]	[a1,a2,a3,a4,a6]
Generators	[766:11280:1]	Generators of the group modulo torsion
j	4074298586529449442833089/198875929376056328000	j-invariant
L	4.5580322247376	L(r)(E,1)/r!
Ω	0.1764830188765	Real period
R	6.4567575024415	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	78320t2 88110bi2 48950i2 107690d2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9790l2

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 9790l2

-4	-3	5	-11
78320t2	88110bi2	48950i2	107690d2

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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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