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	11088bj	Isogeny class
Conductor	11088	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	14400	Modular degree for the optimal curve
Δ	-1609445376 = -1 · 212 · 36 · 72 · 11	Discriminant
Eigenvalues	2- 3- -3 7+ 11+ -4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-12864,561584]	[a1,a2,a3,a4,a6]
Generators	[65:7:1]	Generators of the group modulo torsion
j	-78843215872/539	j-invariant
L	3.246976557917	L(r)(E,1)/r!
Ω	1.3413954650172	Real period
R	1.2102980226921	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	693c1 44352ec1 1232f1 77616fm1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088bj1

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
-	-	-3	+	+	-4	6	-2	3	6	-5	11	-6	-8	0	6	-9	-10	-5	9	2	10	12	3	-1

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Quadratic twists for elliptic curve 11088bj1

-4	8	-3	-7	-11
693c1	44352ec1	1232f1	77616fm1	121968gl1

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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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