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	11088r	Isogeny class
Conductor	11088	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	-96246090864 = -1 · 24 · 313 · 73 · 11	Discriminant
Eigenvalues	2+ 3-  3 7+ 11- -3 -4  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-111,14933]	[a1,a2,a3,a4,a6]
Generators	[52:387:1]	Generators of the group modulo torsion
j	-12967168/8251551	j-invariant
L	5.4293412063835	L(r)(E,1)/r!
Ω	0.86365021704764	Real period
R	3.143252383438	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	5544h1 44352dp1 3696a1 77616cp1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088r1

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	+	-	-3	-4	7	-2	3	0	-11	-8	2	-9	-10	-5	-10	3	8	-9	4	-4	14	-2

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Quadratic twists for elliptic curve 11088r1

-4	8	-3	-7	-11
5544h1	44352dp1	3696a1	77616cp1	121968ci1

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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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