Cremona's table of elliptic curves

4488 = 2³ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 17-	Signs for the Atkin-Lehner involutions
Conductor	4488	Conductor
Count	4	Number of curves in isogeny class
Curves	4488f1 4488f2 4488f3 4488f4	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 -4 11+  2 17-  4	Hecke eigenvalues for primes less than 20
L	3.2197464632272	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8976k 35904bn 13464j 112200v	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4488f

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

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Quadratic twists for isogeny class 4488f

-4	8	-3	5	-11	17
8976k	35904bn	13464j	112200v	49368f	76296v

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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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