Cremona's table of elliptic curves

6650 = 2 · 5² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	6650t	Isogeny class
Conductor	6650	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-384104000000000 = -1 · 212 · 59 · 7 · 193	Discriminant
Eigenvalues	2- -1 5+ 7+  0  4 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,1037,943281]	[a1,a2,a3,a4,a6]
Generators	[165:-2458:1]	Generators of the group modulo torsion
j	7892485271/24582656000	j-invariant
L	4.9023867753102	L(r)(E,1)/r!
Ω	0.42009923855785	Real period
R	0.081038834355404	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	53200cc2 59850bi2 1330d2 46550by2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6650t2

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	+	+	0	4	-3	-	3	-6	-4	1	-9	-5	0	9	6	-4	-2	-9	7	-4	0	6	-2

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Quadratic twists for elliptic curve 6650t2

-4	-3	5	-7	-19
53200cc2	59850bi2	1330d2	46550by2	126350l2

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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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