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	11550bo	Isogeny class
Conductor	11550	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-5338323375000000000 = -1 · 29 · 3 · 512 · 76 · 112	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11-  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-40838,-111225469]	[a1,a2,a3,a4,a6]
Generators	[665:12167:1]	Generators of the group modulo torsion
j	-482056280171929/341652696000000	j-invariant
L	5.8926416455078	L(r)(E,1)/r!
Ω	0.10875098503149	Real period
R	1.5051311039215	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	92400gy4 34650l4 2310i4 80850gr4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bo4

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	0	-4	-6	6	-4	-8	6	-8	0	-6	0	-10	-2	12	10	-4	-12	0	-2

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Quadratic twists for elliptic curve 11550bo4

-4	-3	5	-7	-11
92400gy4	34650l4	2310i4	80850gr4	127050bi4

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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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