Cremona's table of elliptic curves

5355 = 3² · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	3- 5+ 7+ 17+	Signs for the Atkin-Lehner involutions
Conductor	5355	Conductor
Count	6	Number of curves in isogeny class
Curves	5355d1 5355d2 5355d3 5355d4 5355d5 5355d6	Curves in isogeny class
deg	4096	Modular degree for the optimal curve
Eigenvalues	1 3- 5+ 7+ -4  6 17+ -4	Hecke eigenvalues for primes less than 20
L	1.2675210372716	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	85680ek 1785m 26775bq 37485bt	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 5355d

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

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Quadratic twists for isogeny class 5355d

-4	-3	5	-7	17
85680ek	1785m	26775bq	37485bt	91035br

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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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