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	4	Number of curves in isogeny class
Curves	220a1 220a2 220a3 220a4	Curves in isogeny class
deg	36	Modular degree for the optimal curve
Eigenvalues	2- -2 5- -4 11+ -4  0 -4	Hecke eigenvalues for primes less than 20
L	1.1411181830796	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	880j 3520g 1980b 1100b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 220a

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

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Quadratic twists for isogeny class 220a

-4	8	-3	5	-7	-11	13	17	-19	-23
880j	3520g	1980b	1100b	10780f	2420g	37180d	63580d	79420b	116380e

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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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