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	9790c	Isogeny class
Conductor	9790	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	85301249000000 = 26 · 56 · 112 · 893	Discriminant
Eigenvalues	2+ -2 5+  2 11- -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-18354,-849148]	[a1,a2,a3,a4,a6]
j	683725660566893209/85301249000000	j-invariant
L	0.82707129040069	L(r)(E,1)/r!
Ω	0.41353564520035	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	78320s3 88110cm3 48950u3 107690ba3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9790c3

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

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Quadratic twists for elliptic curve 9790c3

-4	-3	5	-11
78320s3	88110cm3	48950u3	107690ba3

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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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