Cremona's table of elliptic curves

11088 = 2⁴ · 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	11088j	Isogeny class
Conductor	11088	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-2934184176 = -1 · 24 · 39 · 7 · 113	Discriminant
Eigenvalues	2+ 3-  1 7+ 11+ -3 -4 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2127,-37847]	[a1,a2,a3,a4,a6]
j	-91238612224/251559	j-invariant
L	1.4057754604359	L(r)(E,1)/r!
Ω	0.35144386510897	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	5544v1 44352dv1 3696l1 77616bn1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088j1

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	-4	-1	2	1	-4	-3	-4	-2	5	-2	9	-2	3	12	7	8	12	2	10

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Quadratic twists for elliptic curve 11088j1

-4	8	-3	-7	-11
5544v1	44352dv1	3696l1	77616bn1	121968by1

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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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