Cremona's table of elliptic curves

161 = 7 · 23

Field	Data	Notes
Atkin-Lehner	7- 23+	Signs for the Atkin-Lehner involutions
Conductor	161	Conductor
Count	4	Number of curves in isogeny class
Curves	161a1 161a2 161a3 161a4	Curves in isogeny class
deg	10	Modular degree for the optimal curve
Eigenvalues	-1  0  2 7-  4  6 -2  4	Hecke eigenvalues for primes less than 20
L	0.8628343267976	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2576l 10304h 1449e 4025a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 161a

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

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Quadratic twists for isogeny class 161a

-4	8	-3	5	-7	-11	13	17	-19	-23
2576l	10304h	1449e	4025a	1127a	19481b	27209d	46529d	58121b	3703a

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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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