Cremona's table of elliptic curves

8944 = 2⁴ · 13 · 43

Field	Data	Notes
Atkin-Lehner	2+ 13- 43-	Signs for the Atkin-Lehner involutions
Conductor	8944	Conductor
Count	2	Number of curves in isogeny class
Curves	8944c1 8944c2	Curves in isogeny class
deg	384	Modular degree for the optimal curve
Eigenvalues	2+  0  0 -2  0 13-  2 -2	Hecke eigenvalues for primes less than 20
L	3.8540018673759	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4472b 35776e 80496s 116272e	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for isogeny class 8944c

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

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Quadratic twists for isogeny class 8944c

-4	8	-3	13
4472b	35776e	80496s	116272e

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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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