Cremona's table of elliptic curves

2622 = 2 · 3 · 19 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+ 23-	Signs for the Atkin-Lehner involutions
Conductor	2622	Conductor
Count	2	Number of curves in isogeny class
Curves	2622b1 2622b2	Curves in isogeny class
deg	11616	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 -2  6 -6  4 19+	Hecke eigenvalues for primes less than 20
L	3.5898407541628	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	20976k 83904q 7866f 65550u	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2622b

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	-2	6	-6	4	+	-	2	-4	-8	-2	8	-8	-6	4	8	-8	-8	-10	-2	-6	-8	-6

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Quadratic twists for isogeny class 2622b

-4	8	-3	5	-7	-19	-23
20976k	83904q	7866f	65550u	128478da	49818q	60306r

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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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