Cremona's table of elliptic curves

171 = 3² · 19

Field	Data	Notes
Atkin-Lehner	3- 19+	Signs for the Atkin-Lehner involutions
Conductor	171	Conductor
Count	4	Number of curves in isogeny class
Curves	171a1 171a2 171a3 171a4	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	-1 3-  2  0  0  6  6 19+	Hecke eigenvalues for primes less than 20
L	0.86836134047839	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2736t 10944bh 57b 4275e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 171a

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

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Quadratic twists for isogeny class 171a

-4	8	-3	5	-7	-11	13	17	-19	-23
2736t	10944bh	57b	4275e	8379n	20691q	28899k	49419b	3249e	90459r

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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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