Cremona's table of elliptic curves

38720 = 2⁶ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	38720	Conductor
Count	4	Number of curves in isogeny class
Curves	38720cj1 38720cj2 38720cj3 38720cj4	Curves in isogeny class
deg	138240	Modular degree for the optimal curve
Eigenvalues	2- -2 5+ -4 11- -4  0  4	Hecke eigenvalues for primes less than 20
L	1.9570959372038	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	38720q 9680bc 3520u	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for isogeny class 38720cj

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
-	-2	+	-4	-	-4	0	4	6	-6	-8	-2	-6	-8	-6	6	-12	2	-10	12	16	8	0	6	14

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Quadratic twists for isogeny class 38720cj

-4	8	-11
38720q	9680bc	3520u

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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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