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	11550n	Isogeny class
Conductor	11550	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2.2357610440704E+22	Discriminant
Eigenvalues	2+ 3+ 5- 7+ 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-10849450,11719196500]	[a1,a2,a3,a4,a6]
Generators	[35941092:1536113806:35937]	Generators of the group modulo torsion
j	72313087342699809269/11447096545640448	j-invariant
L	2.6331811919435	L(r)(E,1)/r!
Ω	0.11533165062446	Real period
R	11.415691953103	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	92400ig3 34650dx3 11550cu3 80850df3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550n3

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
+	+	-	+	-	-4	2	0	6	0	2	-8	2	-4	-8	6	0	2	-8	-8	-4	10	6	0	2

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Quadratic twists for elliptic curve 11550n3

-4	-3	5	-7	-11
92400ig3	34650dx3	11550cu3	80850df3	127050gy3

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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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