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	11550ce	Isogeny class
Conductor	11550	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	9285117187500 = 22 · 32 · 510 · 74 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-53438,4747992]	[a1,a2,a3,a4,a6]
Generators	[148:220:1]	Generators of the group modulo torsion
j	1080077156587801/594247500	j-invariant
L	7.9553659433941	L(r)(E,1)/r!
Ω	0.72030023655162	Real period
R	1.3805642320555	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	92400ej4 34650o4 2310d3 80850dx4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550ce3

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	-2	-4	-4	-10	-4	10	6	-4	0	2	0	-14	0	0	-2	-8	-4	18	-2

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Quadratic twists for elliptic curve 11550ce3

-4	-3	5	-7	-11
92400ej4	34650o4	2310d3	80850dx4	127050dl4

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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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