Cremona's table of elliptic curves

220 = 2² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 11-	Signs for the Atkin-Lehner involutions
Conductor	220	Conductor
Count	2	Number of curves in isogeny class
Curves	220b1 220b2	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	2-  2 5-  0 11-  0 -4 -4	Hecke eigenvalues for primes less than 20
L	1.7382298305338	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	880h 3520c 1980a 1100c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 220b

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	-4	-4	6	2	0	-6	-10	4	10	2	-4	-14	2	4	-4	-8	12	6	6

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Quadratic twists for isogeny class 220b

-4	8	-3	5	-7	-11	13	17	-19	-23
880h	3520c	1980a	1100c	10780i	2420f	37180b	63580a	79420c	116380b

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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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