Cremona's table of elliptic curves

17088 = 2⁶ · 3 · 89

Field	Data	Notes
Atkin-Lehner	2+ 3+ 89-	Signs for the Atkin-Lehner involutions
Conductor	17088	Conductor
Count	4	Number of curves in isogeny class
Curves	17088b1 17088b2 17088b3 17088b4	Curves in isogeny class
deg	15360	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2  4  4 -2  2 -4	Hecke eigenvalues for primes less than 20
L	3.1520669193996	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	17088m 2136a 51264n	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 17088b

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	4	-2	2	-4	4	6	4	-2	2	-4	0	-6	-4	-2	-4	8	-6	0	4	-	18

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Quadratic twists for isogeny class 17088b

-4	8	-3
17088m	2136a	51264n

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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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