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	11088bi	Isogeny class
Conductor	11088	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-24249456 = -1 · 24 · 39 · 7 · 11	Discriminant
Eigenvalues	2- 3- -3 7+ 11+ -1  0 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,51,191]	[a1,a2,a3,a4,a6]
Generators	[-2:9:1]	Generators of the group modulo torsion
j	1257728/2079	j-invariant
L	3.2369812799485	L(r)(E,1)/r!
Ω	1.4547491803223	Real period
R	1.1125564886832	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	2772m1 44352eb1 3696o1 77616fl1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088bi1

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	+	+	-1	0	-5	6	3	4	-7	12	-2	3	-6	3	2	1	12	-7	4	0	-6	2

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Quadratic twists for elliptic curve 11088bi1

-4	8	-3	-7	-11
2772m1	44352eb1	3696o1	77616fl1	121968gi1

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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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