Cremona's table of elliptic curves

3553 = 11 · 17 · 19

Field	Data	Notes
Atkin-Lehner	11+ 17+ 19+	Signs for the Atkin-Lehner involutions
Conductor	3553	Conductor
Count	2	Number of curves in isogeny class
Curves	3553b1 3553b2	Curves in isogeny class
deg	528	Modular degree for the optimal curve
Eigenvalues	1  2 -2  4 11+ -2 17+ 19+	Hecke eigenvalues for primes less than 20
L	5.4393303700171	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	56848k 31977w 88825f 39083i	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 3553b

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

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Quadratic twists for isogeny class 3553b

-4	-3	5	-11	17	-19
56848k	31977w	88825f	39083i	60401i	67507f

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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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