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	11088z	Isogeny class
Conductor	11088	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-4024944 = -1 · 24 · 33 · 7 · 113	Discriminant
Eigenvalues	2- 3+  3 7+ 11+  5  6  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,39,23]	[a1,a2,a3,a4,a6]
j	15185664/9317	j-invariant
L	3.0497258012611	L(r)(E,1)/r!
Ω	1.5248629006306	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2772d1 44352db1 11088ba2 77616dm1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088z1

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	+	+	5	6	1	0	-9	-8	-7	6	10	-3	6	9	2	13	-6	11	10	6	6	-10

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Quadratic twists for elliptic curve 11088z1

-4	8	-3	-7	-11
2772d1	44352db1	11088ba2	77616dm1	121968dd1

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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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