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	11550cq	Isogeny class
Conductor	11550	Conductor
∏ cp	363	Product of Tamagawa factors cp
deg	34848	Modular degree for the optimal curve
Δ	-17459608320000 = -1 · 211 · 311 · 54 · 7 · 11	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,5337,134217]	[a1,a2,a3,a4,a6]
Generators	[-18:189:1]	Generators of the group modulo torsion
j	26898633480575/27935373312	j-invariant
L	8.0711053997133	L(r)(E,1)/r!
Ω	0.45741186295897	Real period
R	0.048609255547326	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	92400fk1 34650bq1 11550j1 80850fg1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cq1

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	-6	-8	-4	-8	4	-5	-7	-1	-8	-4	6	-8	-11	10	-5	-1	14

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Quadratic twists for elliptic curve 11550cq1

-4	-3	5	-7	-11
92400fk1	34650bq1	11550j1	80850fg1	127050eo1

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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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