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	7650s	Isogeny class
Conductor	7650	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	1.5257908996005E+24	Discriminant
Eigenvalues	2+ 3- 5+  1 -3  4 17- -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-524155977,4618652600461]	[a1,a2,a3,a4,a6]
Generators	[1088778006190:-35696606122427:96071912]	Generators of the group modulo torsion
j	873851835888094527083289145/83719665273003835392	j-invariant
L	3.229866631262	L(r)(E,1)/r!
Ω	0.081156246201851	Real period
R	19.899063734593	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	61200fn2 2550r2 7650ch2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 7650s2

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	-3	4	-	-1	0	0	5	-11	-6	-5	-3	-9	0	14	1	-6	-2	17	0	6	-2

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Quadratic twists for elliptic curve 7650s2

-4	-3	5
61200fn2	2550r2	7650ch2

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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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