Cremona's table of elliptic curves

3536 = 2⁴ · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 13+ 17-	Signs for the Atkin-Lehner involutions
Conductor	3536	Conductor
Count	2	Number of curves in isogeny class
Curves	3536i1 3536i2	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	2-  0  4  2 -6 13+ 17- -8	Hecke eigenvalues for primes less than 20
L	4.1971862338169	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	221a 14144bb 31824ba 88400bi	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3536i

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

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Quadratic twists for isogeny class 3536i

-4	8	-3	5	13	17
221a	14144bb	31824ba	88400bi	45968r	60112p

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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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