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
Conductor	6630	Conductor
Count	8	Number of curves in isogeny class
Curves	6630w1 6630w2 6630w3 6630w4 6630w5 6630w6 6630w7 6630w8	Curves in isogeny class
deg	276480	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ -4  0 13- 17- -4	Hecke eigenvalues for primes less than 20
L	6.1140987265173	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	53040bp 19890r 33150b 86190bm	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 6630w

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
-	-	+	-4	0	-	-	-4	0	6	-4	2	6	-4	0	6	-12	-10	-4	-12	-10	-16	-12	-6	-10

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Quadratic twists for isogeny class 6630w

-4	-3	5	13	17
53040bp	19890r	33150b	86190bm	112710cj

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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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