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	7650x	Isogeny class
Conductor	7650	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1.18550669634E+19	Discriminant
Eigenvalues	2+ 3- 5+ -2  4 -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-10393542,-12893479884]	[a1,a2,a3,a4,a6]
Generators	[4107555:-742912056:125]	Generators of the group modulo torsion
j	10901014250685308569/1040774054400	j-invariant
L	2.9362771378965	L(r)(E,1)/r!
Ω	0.084083570832875	Real period
R	8.7302344227644	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	61200fq2 2550ba2 1530o2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 7650x2

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	4	-4	-	-4	8	-2	4	-6	-8	-6	8	-2	6	14	2	-2	-4	0	-16	2	0

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Quadratic twists for elliptic curve 7650x2

-4	-3	5
61200fq2	2550ba2	1530o2

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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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