Cremona's table of elliptic curves

552 = 2³ · 3 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 23+	Signs for the Atkin-Lehner involutions
Conductor	552	Conductor
Count	4	Number of curves in isogeny class
Curves	552e1 552e2 552e3 552e4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 -4  0 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	2.0234563853307	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1104a 4416e 1656c 13800i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 552e

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

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Quadratic twists for isogeny class 552e

-4	8	-3	5	-7	-11	13	-23
1104a	4416e	1656c	13800i	27048o	66792o	93288n	12696q

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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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