Cremona's table of elliptic curves

690 = 2 · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 23-	Signs for the Atkin-Lehner involutions
Conductor	690	Conductor
Count	4	Number of curves in isogeny class
Curves	690e1 690e2 690e3 690e4	Curves in isogeny class
deg	480	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0 -4 -6 -6  4	Hecke eigenvalues for primes less than 20
L	1.8051068281803	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5520m 22080u 2070q 3450o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 690e

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	-6	-6	4	-	-6	-8	6	10	4	-8	-14	0	10	4	8	2	-12	-16	-2	-14

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Quadratic twists for isogeny class 690e

-4	8	-3	5	-7	-11	13	-23
5520m	22080u	2070q	3450o	33810w	83490ch	116610cr	15870p

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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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