Cremona's table of elliptic curves

7790 = 2 · 5 · 19 · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 19- 41+	Signs for the Atkin-Lehner involutions
Class	7790c	Isogeny class
Conductor	7790	Conductor
∏ cp	396	Product of Tamagawa factors cp
deg	190080	Modular degree for the optimal curve
Δ	-6.1901103410708E+19	Discriminant
Eigenvalues	2-  1 5+ -1  0 -1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-19456,378535936]	[a1,a2,a3,a4,a6]
Generators	[-114:19532:1]	Generators of the group modulo torsion
j	-814490043974074369/61901103410708480000	j-invariant
L	6.5566981693272	L(r)(E,1)/r!
Ω	0.15699762837405	Real period
R	0.94915999068265	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	62320m1 70110x1 38950g1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 7790c1

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
-	1	+	-1	0	-1	-3	-	9	3	-4	2	+	-4	0	-9	-9	14	5	-12	-7	-16	-12	6	-10

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Quadratic twists for elliptic curve 7790c1

-4	-3	5
62320m1	70110x1	38950g1

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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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