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	19680t1 19680t2 19680t3 19680t4	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	6.5507465076163	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	19680bd 39360cp 59040e 98400w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 19680t

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 19680t

-4	8	-3	5
19680bd	39360cp	59040e	98400w

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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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