Cremona's table of elliptic curves

11550 = 2 · 3 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	11550bl	Isogeny class
Conductor	11550	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	11833335360000000 = 212 · 34 · 57 · 73 · 113	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1193688,-502447719]	[a1,a2,a3,a4,a6]
j	12038605770121350841/757333463040	j-invariant
L	1.733244102518	L(r)(E,1)/r!
Ω	0.14443700854317	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	92400hi3 34650q3 2310l3 80850fw3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bl3

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

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Quadratic twists for elliptic curve 11550bl3

-4	-3	5	-7	-11
92400hi3	34650q3	2310l3	80850fw3	127050bd3

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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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