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	2	Number of curves in isogeny class
Curves	5355b1 5355b2	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5- 7+  0  0 17-  4	Hecke eigenvalues for primes less than 20
L	2.5449958153138	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	85680dh 5355a 26775c 37485b	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 5355b

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	-	4	-6	-6	2	-2	6	-8	0	-2	8	-8	-4	0	2	-12	12	14	2

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Quadratic twists for isogeny class 5355b

-4	-3	5	-7	17
85680dh	5355a	26775c	37485b	91035a

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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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