Cremona's table of elliptic curves

52416 = 2⁶ · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 13+	Signs for the Atkin-Lehner involutions
Conductor	52416	Conductor
Count	6	Number of curves in isogeny class
Curves	52416cp1 52416cp2 52416cp3 52416cp4 52416cp5 52416cp6	Curves in isogeny class
deg	294912	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 7- -4 13+  6 -4	Hecke eigenvalues for primes less than 20
L	4.700385930703	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	52416eu 6552m 17472bh	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 52416cp

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

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Quadratic twists for isogeny class 52416cp

-4	8	-3
52416eu	6552m	17472bh

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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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