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	220a	Isogeny class
Conductor	220	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	8518400 = 28 · 52 · 113	Discriminant
Eigenvalues	2- -2 5- -4 11+ -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7100,-232652]	[a1,a2,a3,a4,a6]
Generators	[131:1050:1]	Generators of the group modulo torsion
j	154639330142416/33275	j-invariant
L	1.1411181830796	L(r)(E,1)/r!
Ω	0.52009164350865	Real period
R	4.3881427333897	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	880j4 3520g4 1980b4 1100b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 220a4

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 elliptic curve 220a4

-4	8	-3	5	-7	-11	13	17	-19	-23
880j4	3520g4	1980b4	1100b4	10780f4	2420g4	37180d4	63580d4	79420b4	116380e4

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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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