Cremona's table of elliptic curves

590 = 2 · 5 · 59

Field	Data	Notes
Atkin-Lehner	2+ 5- 59+	Signs for the Atkin-Lehner involutions
Conductor	590	Conductor
Count	4	Number of curves in isogeny class
Curves	590b1 590b2 590b3 590b4	Curves in isogeny class
deg	60	Modular degree for the optimal curve
Eigenvalues	2+  0 5-  4  4  2 -6  4	Hecke eigenvalues for primes less than 20
L	1.3474059559858	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4720e 18880c 5310n 2950k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 590b

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

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Quadratic twists for isogeny class 590b

-4	8	-3	5	-7	-11	13	-59
4720e	18880c	5310n	2950k	28910f	71390o	99710u	34810n

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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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