Cremona's table of elliptic curves

69360 = 2⁴ · 3 · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 17+	Signs for the Atkin-Lehner involutions
Conductor	69360	Conductor
Count	8	Number of curves in isogeny class
Curves	69360du1 69360du2 69360du3 69360du4 69360du5 69360du6 69360du7 69360du8	Curves in isogeny class
deg	221184	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- -4  0  2 17+  4	Hecke eigenvalues for primes less than 20
L	3.3714162708506	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	8670e 240b	Quadratic twists by: -4 17

Hecke Eigenvalues for isogeny class 69360du

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
-	-	-	-4	0	2	+	4	0	6	8	-2	6	4	0	-6	0	10	4	0	-2	8	-12	18	-2

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Quadratic twists for isogeny class 69360du

-4	17
8670e	240b

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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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