Cremona's table of elliptic curves

11288 = 2³ · 17 · 83

Field	Data	Notes
Atkin-Lehner	2- 17+ 83-	Signs for the Atkin-Lehner involutions
Class	11288b	Isogeny class
Conductor	11288	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2051500264448 = 210 · 176 · 83	Discriminant
Eigenvalues	2-  2  0 -2  2  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3408,34556]	[a1,a2,a3,a4,a6]
Generators	[100638:1075348:729]	Generators of the group modulo torsion
j	4276120562500/2003418227	j-invariant
L	6.2179710082633	L(r)(E,1)/r!
Ω	0.73897391253873	Real period
R	8.4143308752289	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	22576a2 90304c2 101592d2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 11288b2

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

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Quadratic twists for elliptic curve 11288b2

-4	8	-3
22576a2	90304c2	101592d2

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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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