Cremona's table of elliptic curves

8096 = 2⁵ · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 11- 23+	Signs for the Atkin-Lehner involutions
Conductor	8096	Conductor
Count	4	Number of curves in isogeny class
Curves	8096g1 8096g2 8096g3 8096g4	Curves in isogeny class
deg	1088	Modular degree for the optimal curve
Eigenvalues	2-  0  2  0 11- -2  6  4	Hecke eigenvalues for primes less than 20
L	4.7441177973777	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8096d 16192n 72864j 89056d	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 8096g

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

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Quadratic twists for isogeny class 8096g

-4	8	-3	-11
8096d	16192n	72864j	89056d

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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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