Cremona's table of elliptic curves

19680 = 2⁵ · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 41-	Signs for the Atkin-Lehner involutions
Conductor	19680	Conductor
Count	4	Number of curves in isogeny class
Curves	19680bd1 19680bd2 19680bd3 19680bd4	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2- 3- 5-  0  4 -6 -6  4	Hecke eigenvalues for primes less than 20
L	6.6975773865311	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	19680t 39360bs 59040f 98400d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 19680bd

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

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Quadratic twists for isogeny class 19680bd

-4	8	-3	5
19680t	39360bs	59040f	98400d

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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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