Cremona's table of elliptic curves

17136 = 2⁴ · 3² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 17+	Signs for the Atkin-Lehner involutions
Conductor	17136	Conductor
Count	6	Number of curves in isogeny class
Curves	17136y1 17136y2 17136y3 17136y4 17136y5 17136y6	Curves in isogeny class
deg	737280	Modular degree for the optimal curve
Eigenvalues	2- 3-  2 7+  4 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	5.7811674097291	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2142g 68544dq 5712t 119952gs	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 17136y

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

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Quadratic twists for isogeny class 17136y

-4	8	-3	-7
2142g	68544dq	5712t	119952gs

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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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