Cremona's table of elliptic curves

220 = 2² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 11-	Signs for the Atkin-Lehner involutions
Class	220b	Isogeny class
Conductor	220	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	9680 = 24 · 5 · 112	Discriminant
Eigenvalues	2-  2 5-  0 11-  0 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5,2]	[a1,a2,a3,a4,a6]
j	1048576/605	j-invariant
L	1.7382298305338	L(r)(E,1)/r!
Ω	3.4764596610676	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	880h1 3520c1 1980a1 1100c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 220b1

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 elliptic curve 220b1

-4	8	-3	5	-7	-11	13	17	-19	-23
880h1	3520c1	1980a1	1100c1	10780i1	2420f1	37180b1	63580a1	79420c1	116380b1

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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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