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	11088p	Isogeny class
Conductor	11088	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	2314745690840884224 = 210 · 312 · 74 · 116	Discriminant
Eigenvalues	2+ 3- -2 7+ 11- -6  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5282931,-4673123390]	[a1,a2,a3,a4,a6]
Generators	[-1317:418:1]	Generators of the group modulo torsion
j	21843440425782779332/3100814593569	j-invariant
L	3.6340011332032	L(r)(E,1)/r!
Ω	0.099582842684165	Real period
R	3.0410201155574	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	5544t2 44352dl2 3696i2 77616cj2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088p2

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	+	-	-6	2	8	-4	-2	8	6	2	-8	-4	-2	-12	10	12	-12	10	8	12	-10	-14

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Quadratic twists for elliptic curve 11088p2

-4	8	-3	-7	-11
5544t2	44352dl2	3696i2	77616cj2	121968cf2

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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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