Cremona's table of elliptic curves

1769 = 29 · 61

Field	Data	Notes
Atkin-Lehner	29- 61+	Signs for the Atkin-Lehner involutions
Conductor	1769	Conductor
Count	1	Number of curves in isogeny class
Curves	1769a1	Curves in isogeny class
deg	1080	Modular degree for the optimal curve
Eigenvalues	-1  1  3  4  1  1  4  8	Hecke eigenvalues for primes less than 20
L	2.0166909291115	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	28304e 113216d 15921b 44225c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1769a

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
-1	1	3	4	1	1	4	8	-6	-	3	-4	-4	1	1	9	-6	+	-4	-2	-14	-15	-14	8	4

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Quadratic twists for isogeny class 1769a

-4	8	-3	5	-7	29	61
28304e	113216d	15921b	44225c	86681i	51301a	107909a

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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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