Cremona's table of elliptic curves

6555 = 3 · 5 · 19 · 23

Field	Data	Notes
Atkin-Lehner	3+ 5+ 19+ 23-	Signs for the Atkin-Lehner involutions
Conductor	6555	Conductor
Count	4	Number of curves in isogeny class
Curves	6555b1 6555b2 6555b3 6555b4	Curves in isogeny class
deg	2976	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+  0  0 -6 -2 19+	Hecke eigenvalues for primes less than 20
L	0.60286166611287	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	104880cp 19665u 32775u 124545be	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for isogeny class 6555b

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
1	+	+	0	0	-6	-2	+	-	-6	0	-10	-10	12	0	2	0	-10	8	12	-14	0	-4	2	18

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Quadratic twists for isogeny class 6555b

-4	-3	5	-19
104880cp	19665u	32775u	124545be

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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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