Cremona's table of elliptic curves

7650 = 2 · 3² · 5² · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 17-	Signs for the Atkin-Lehner involutions
Class	7650cp	Isogeny class
Conductor	7650	Conductor
∏ cp	150	Product of Tamagawa factors cp
Δ	3144042599737500000 = 25 · 311 · 58 · 175	Discriminant
Eigenvalues	2- 3- 5- -3  3 -4 17- -5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-366305,-1824303]	[a1,a2,a3,a4,a6]
Generators	[-181:7740:1]	Generators of the group modulo torsion
j	19088138515945/11040808032	j-invariant
L	5.8057143670583	L(r)(E,1)/r!
Ω	0.21253892922818	Real period
R	0.18210669728886	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	61200hi2 2550f2 7650r1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 7650cp2

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
-	-	-	-3	3	-4	-	-5	4	0	7	-3	-2	1	3	-11	0	2	-13	-2	6	-5	-16	10	2

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Quadratic twists for elliptic curve 7650cp2

-4	-3	5
61200hi2	2550f2	7650r1

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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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