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	11550cn	Isogeny class
Conductor	11550	Conductor
∏ cp	125	Product of Tamagawa factors cp
deg	12000	Modular degree for the optimal curve
Δ	-35940088800 = -1 · 25 · 35 · 52 · 75 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,647,6617]	[a1,a2,a3,a4,a6]
Generators	[8:107:1]	Generators of the group modulo torsion
j	1197993859655/1437603552	j-invariant
L	8.2515714936954	L(r)(E,1)/r!
Ω	0.77481246328136	Real period
R	2.1299532170016	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	92400do1 34650bd1 11550o2 80850eu1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cn1

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
-	-	+	-	-	-6	-2	0	-6	0	-8	8	-8	-1	-7	9	0	-8	-2	-8	-1	-10	9	-15	-2

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Quadratic twists for elliptic curve 11550cn1

-4	-3	5	-7	-11
92400do1	34650bd1	11550o2	80850eu1	127050de1

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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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