Cremona's table of elliptic curves

1178 = 2 · 19 · 31

Field	Data	Notes
Atkin-Lehner	2- 19+ 31+	Signs for the Atkin-Lehner involutions
Conductor	1178	Conductor
Count	2	Number of curves in isogeny class
Curves	1178a1 1178a2	Curves in isogeny class
deg	3360	Modular degree for the optimal curve
Eigenvalues	2-  2  2  0  2 -4  6 19+	Hecke eigenvalues for primes less than 20
L	4.1816356521824	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	9424f 37696g 10602c 29450a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1178a

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

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Quadratic twists for isogeny class 1178a

-4	8	-3	5	-7	-19	-31
9424f	37696g	10602c	29450a	57722x	22382e	36518e

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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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