Cremona's table of elliptic curves

55488 = 2⁶ · 3 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+	Signs for the Atkin-Lehner involutions
Conductor	55488	Conductor
Count	2	Number of curves in isogeny class
Curves	55488cq1 55488cq2	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 -2  0 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	7.0248211720754	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	55488dv 27744k 55488dr	Quadratic twists by: -4 8 17

Hecke Eigenvalues for isogeny class 55488cq

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

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Quadratic twists for isogeny class 55488cq

-4	8	17
55488dv	27744k	55488dr

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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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