Cremona's table of elliptic curves

4416 = 2⁶ · 3 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 23-	Signs for the Atkin-Lehner involutions
Conductor	4416	Conductor
Count	4	Number of curves in isogeny class
Curves	4416w1 4416w2 4416w3 4416w4	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2  0  0  2  2 -8	Hecke eigenvalues for primes less than 20
L	2.7550634153009	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4416i 1104h 13248be 110400hm	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4416w

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	0	0	2	2	-8	-	2	8	-2	10	8	-8	-2	-4	-2	8	0	-6	-8	-16	18	10

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Quadratic twists for isogeny class 4416w

-4	8	-3	5	-23
4416i	1104h	13248be	110400hm	101568ce

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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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