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	11088b	Isogeny class
Conductor	11088	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	32256	Modular degree for the optimal curve
Δ	-345203834122224 = -1 · 24 · 39 · 77 · 113	Discriminant
Eigenvalues	2+ 3+ -1 7+ 11+  3 -2  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,7317,860841]	[a1,a2,a3,a4,a6]
Generators	[840:24489:1]	Generators of the group modulo torsion
j	137566156032/1096135733	j-invariant
L	4.0670045872803	L(r)(E,1)/r!
Ω	0.39394514329792	Real period
R	5.1618920254141	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5544d1 44352cz1 11088e1 77616g1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088b1

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	-2	5	-8	-7	8	-3	10	10	7	2	-9	-2	3	6	1	-10	-6	-2	-2

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Quadratic twists for elliptic curve 11088b1

-4	8	-3	-7	-11
5544d1	44352cz1	11088e1	77616g1	121968s1

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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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