Cremona's table of elliptic curves

494 = 2 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 13+ 19-	Signs for the Atkin-Lehner involutions
Conductor	494	Conductor
Count	4	Number of curves in isogeny class
Curves	494b1 494b2 494b3 494b4	Curves in isogeny class
deg	34	Modular degree for the optimal curve
Eigenvalues	2+  0  2  4  4 13+  2 19-	Hecke eigenvalues for primes less than 20
L	1.3738178096809	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3952d 15808h 4446q 12350s	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 494b

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
+	0	2	4	4	+	2	-	-8	2	0	10	-2	12	4	-6	-12	14	-12	8	2	-16	-12	6	-2

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Quadratic twists for isogeny class 494b

-4	8	-3	5	-7	-11	13	-19
3952d	15808h	4446q	12350s	24206e	59774q	6422e	9386h

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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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