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	11550cf	Isogeny class
Conductor	11550	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	6048	Modular degree for the optimal curve
Δ	-73180800 = -1 · 27 · 33 · 52 · 7 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+ -5  7  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-123,657]	[a1,a2,a3,a4,a6]
Generators	[18:-75:1]	Generators of the group modulo torsion
j	-8236063705/2927232	j-invariant
L	7.8462784162478	L(r)(E,1)/r!
Ω	1.8293860528223	Real period
R	0.10211958950905	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	92400et1 34650u1 11550q1 80850ec1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cf1

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
-	-	+	+	+	-5	7	0	-9	1	-3	-8	-9	11	10	-9	-3	-7	-4	0	6	10	9	-10	-16

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Quadratic twists for elliptic curve 11550cf1

-4	-3	5	-7	-11
92400et1	34650u1	11550q1	80850ec1	127050do1

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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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