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	11088bh	Isogeny class
Conductor	11088	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	16593611747328 = 212 · 314 · 7 · 112	Discriminant
Eigenvalues	2- 3-  2 7+ 11+  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-650739,-202049678]	[a1,a2,a3,a4,a6]
Generators	[557755:36600174:125]	Generators of the group modulo torsion
j	10206027697760497/5557167	j-invariant
L	5.1991191695867	L(r)(E,1)/r!
Ω	0.16809231560089	Real period
R	7.7325354686813	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	693d5 44352ea6 3696w5 77616fk6	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088bh5

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	-4	0	2	-8	6	-10	4	-8	-6	4	-10	12	0	2	-16	4	-18	2

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Quadratic twists for elliptic curve 11088bh5

-4	8	-3	-7	-11
693d5	44352ea6	3696w5	77616fk6	121968fv6

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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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