Cremona's table of elliptic curves

11220 = 2² · 3 · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 11+ 17+	Signs for the Atkin-Lehner involutions
Class	11220f	Isogeny class
Conductor	11220	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	3143382992640 = 28 · 35 · 5 · 112 · 174	Discriminant
Eigenvalues	2- 3+ 5- -4 11+ -4 17+  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5420,-125928]	[a1,a2,a3,a4,a6]
Generators	[-38:154:1]	Generators of the group modulo torsion
j	68795769401296/12278839815	j-invariant
L	3.3042853588238	L(r)(E,1)/r!
Ω	0.56322481805508	Real period
R	1.9555751409263	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	44880cx2 33660e2 56100v2 123420u2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11220f2

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
-	+	-	-4	+	-4	+	6	0	8	0	-6	-8	4	8	2	-4	-2	-4	0	4	14	6	-6	2

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Quadratic twists for elliptic curve 11220f2

-4	-3	5	-11
44880cx2	33660e2	56100v2	123420u2

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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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