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	11088bz	Isogeny class
Conductor	11088	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	27370408322138112 = 217 · 318 · 72 · 11	Discriminant
Eigenvalues	2- 3- -2 7- 11-  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-13248651,18561179194]	[a1,a2,a3,a4,a6]
Generators	[2127:2030:1]	Generators of the group modulo torsion
j	86129359107301290313/9166294368	j-invariant
L	4.2170843764516	L(r)(E,1)/r!
Ω	0.28921207801704	Real period
R	3.6453218044745	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	1386g3 44352ek4 3696z3 77616gk4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088bz3

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	-	-	2	-6	8	4	-2	-8	6	-6	-8	4	-10	4	-14	4	-4	-14	8	4	14	18

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Quadratic twists for elliptic curve 11088bz3

-4	8	-3	-7	-11
1386g3	44352ek4	3696z3	77616gk4	121968ei4

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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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