Cremona's table of elliptic curves

22785 = 3 · 5 · 7² · 31

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7- 31-	Signs for the Atkin-Lehner involutions
Conductor	22785	Conductor
Count	6	Number of curves in isogeny class
Curves	22785c1 22785c2 22785c3 22785c4 22785c5 22785c6	Curves in isogeny class
deg	159744	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5+ 7-  4 -6 -2 -4	Hecke eigenvalues for primes less than 20
L	2.1535631948857	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	68355bi 113925ch 3255f	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for isogeny class 22785c

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
-1	+	+	-	4	-6	-2	-4	0	6	-	6	6	-12	-8	-2	-4	10	4	-16	14	8	12	6	-2

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Quadratic twists for isogeny class 22785c

-3	5	-7
68355bi	113925ch	3255f

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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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