Cremona's table of elliptic curves

178 = 2 · 89

Field	Data	Notes
Atkin-Lehner	2- 89+	Signs for the Atkin-Lehner involutions
Conductor	178	Conductor
Count	2	Number of curves in isogeny class
Curves	178a1 178a2	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2-  1  3 -4 -6  2  3  5	Hecke eigenvalues for primes less than 20
L	1.9680331227476	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1424c 5696b 1602b 4450b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 178a

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	3	-4	-6	2	3	5	-3	0	5	-10	0	-1	12	9	12	-10	-4	-6	-1	-10	-12	+	17

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Quadratic twists for isogeny class 178a

-4	8	-3	5	-7	-11	13	17	-19	-23	89
1424c	5696b	1602b	4450b	8722o	21538a	30082d	51442f	64258b	94162r	15842b

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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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