Cremona's table of elliptic curves

1394 = 2 · 17 · 41

Field	Data	Notes
Atkin-Lehner	2+ 17+ 41+	Signs for the Atkin-Lehner involutions
Conductor	1394	Conductor
Count	2	Number of curves in isogeny class
Curves	1394c1 1394c2	Curves in isogeny class
deg	10880	Modular degree for the optimal curve
Eigenvalues	2+  2 -2  0  2 -4 17+ -6	Hecke eigenvalues for primes less than 20
L	2.4837761822984	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	11152n 44608f 12546p 34850w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1394c

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

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Quadratic twists for isogeny class 1394c

-4	8	-3	5	-7	17	41
11152n	44608f	12546p	34850w	68306q	23698e	57154h

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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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