Cremona's table of elliptic curves

6630 = 2 · 3 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 13- 17-	Signs for the Atkin-Lehner involutions
Class	6630n	Isogeny class
Conductor	6630	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-247257562500 = -1 · 22 · 34 · 56 · 132 · 172	Discriminant
Eigenvalues	2+ 3- 5- -2  0 13- 17-  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,1152,-18494]	[a1,a2,a3,a4,a6]
Generators	[95:-1023:1]	Generators of the group modulo torsion
j	169286748026759/247257562500	j-invariant
L	3.714127505659	L(r)(E,1)/r!
Ω	0.52308382287365	Real period
R	0.14792592120859	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	53040ca2 19890v2 33150bf2 86190cn2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630n2

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	0	-	-	6	-8	-2	-4	-2	-10	-6	0	-2	-6	-2	0	-4	-14	10	0	18	-6

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Quadratic twists for elliptic curve 6630n2

-4	-3	5	13	17
53040ca2	19890v2	33150bf2	86190cn2	112710d2

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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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