Cremona's table of elliptic curves

5698 = 2 · 7 · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 7- 11+ 37-	Signs for the Atkin-Lehner involutions
Conductor	5698	Conductor
Count	4	Number of curves in isogeny class
Curves	5698d1 5698d2 5698d3 5698d4	Curves in isogeny class
deg	3264	Modular degree for the optimal curve
Eigenvalues	2-  0  2 7- 11+ -2  2  8	Hecke eigenvalues for primes less than 20
L	3.8988847951856	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	45584k 51282t 39886p 62678c	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for isogeny class 5698d

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

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Quadratic twists for isogeny class 5698d

-4	-3	-7	-11
45584k	51282t	39886p	62678c

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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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