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	11088bf	Isogeny class
Conductor	11088	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	75747584173105152 = 213 · 310 · 76 · 113	Discriminant
Eigenvalues	2- 3-  0 7+ 11+  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2035155,-1117413358]	[a1,a2,a3,a4,a6]
Generators	[2449:92664:1]	Generators of the group modulo torsion
j	312196988566716625/25367712678	j-invariant
L	4.3851653025404	L(r)(E,1)/r!
Ω	0.12640152083271	Real period
R	4.3365432568094	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	1386d4 44352ds4 3696n4 77616eu4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088bf4

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

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Quadratic twists for elliptic curve 11088bf4

-4	8	-3	-7	-11
1386d4	44352ds4	3696n4	77616eu4	121968fj4

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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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