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	11220a	Isogeny class
Conductor	11220	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	129600	Modular degree for the optimal curve
Δ	-43111548928800000 = -1 · 28 · 39 · 55 · 115 · 17	Discriminant
Eigenvalues	2- 3+ 5+ -1 11+  3 17+  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-442516,113890216]	[a1,a2,a3,a4,a6]
j	-37434467729693602384/168404488003125	j-invariant
L	1.0881246468897	L(r)(E,1)/r!
Ω	0.36270821562989	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	44880ci1 33660m1 56100s1 123420h1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11220a1

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
-	+	+	-1	+	3	+	1	-7	10	-9	11	0	4	-12	6	4	3	-7	2	2	-4	-9	-14	5

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Quadratic twists for elliptic curve 11220a1

-4	-3	5	-11
44880ci1	33660m1	56100s1	123420h1

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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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