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	4290t1 4290t2 4290t3 4290t4	Curves in isogeny class
deg	1152	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ -4 11- 13+  2  4	Hecke eigenvalues for primes less than 20
L	3.9834315099842	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	34320bt 12870t 21450bf 47190h	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 4290t

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	-	+	2	4	0	2	8	-6	-6	-4	0	-2	-12	2	-12	0	-14	0	4	-10	-2

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Quadratic twists for isogeny class 4290t

-4	-3	5	-11	13
34320bt	12870t	21450bf	47190h	55770l

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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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