Cremona's table of elliptic curves

16695 = 3² · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 53+	Signs for the Atkin-Lehner involutions
Conductor	16695	Conductor
Count	8	Number of curves in isogeny class
Curves	16695j1 16695j2 16695j3 16695j4 16695j5 16695j6 16695j7 16695j8	Curves in isogeny class
deg	90112	Modular degree for the optimal curve
Eigenvalues	1 3- 5+ 7-  4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	5.552123445074	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5565d 83475t 116865bc	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for isogeny class 16695j

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

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Quadratic twists for isogeny class 16695j

-3	5	-7
5565d	83475t	116865bc

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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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