Cremona's table of elliptic curves

4290 = 2 · 3 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11+ 13-	Signs for the Atkin-Lehner involutions
Conductor	4290	Conductor
Count	4	Number of curves in isogeny class
Curves	4290w1 4290w2 4290w3 4290w4	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  0 11+ 13-  6  4	Hecke eigenvalues for primes less than 20
L	3.8168188673949	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	34320be 12870x 21450a 47190u	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 4290w

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
-	-	+	0	+	-	6	4	0	-6	4	-2	2	-8	8	6	12	6	-8	-8	-6	4	12	-2	10

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Quadratic twists for isogeny class 4290w

-4	-3	5	-11	13
34320be	12870x	21450a	47190u	55770bj

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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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