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	11088m	Isogeny class
Conductor	11088	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	280663502468557824 = 210 · 36 · 710 · 113	Discriminant
Eigenvalues	2+ 3- -2 7+ 11+  0 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-205131,25081450]	[a1,a2,a3,a4,a6]
j	1278763167594532/375974556419	j-invariant
L	0.57353991287908	L(r)(E,1)/r!
Ω	0.28676995643954	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5544x2 44352dx2 1232d2 77616bp2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088m2

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

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Quadratic twists for elliptic curve 11088m2

-4	8	-3	-7	-11
5544x2	44352dx2	1232d2	77616bp2	121968cc2

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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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