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	11550bt	Isogeny class
Conductor	11550	Conductor
∏ cp	1040	Product of Tamagawa factors cp
deg	599040	Modular degree for the optimal curve
Δ	-1.7272710837043E+20	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+ -6 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-41888,632313281]	[a1,a2,a3,a4,a6]
Generators	[1941:-89675:1]	Generators of the group modulo torsion
j	-520203426765625/11054534935707648	j-invariant
L	5.818983268974	L(r)(E,1)/r!
Ω	0.14441965203856	Real period
R	0.15496994048077	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	92400gu1 34650bo1 462d1 80850ge1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bt1

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	-4	6	4	6	-2	-10	-4	-8	6	10	0	-2	4	16	-12	-16	2	-6	6

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Quadratic twists for elliptic curve 11550bt1

-4	-3	5	-7	-11
92400gu1	34650bo1	462d1	80850ge1	127050m1

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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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