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	512	Product of Tamagawa factors cp
Δ	-2.1774905530295E+20	Discriminant
Eigenvalues	2- 3- -2 7- 11-  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-208011,710902330]	[a1,a2,a3,a4,a6]
Generators	[-123:27104:1]	Generators of the group modulo torsion
j	-333345918055753/72923718045024	j-invariant
L	4.2170843764516	L(r)(E,1)/r!
Ω	0.14460603900852	Real period
R	0.91133045111862	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1386g4 44352ek3 3696z4 77616gk3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088bz4

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 11088bz4

-4	8	-3	-7	-11
1386g4	44352ek3	3696z4	77616gk3	121968ei3

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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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