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	11550cl	Isogeny class
Conductor	11550	Conductor
∏ cp	240	Product of Tamagawa factors cp
deg	61440	Modular degree for the optimal curve
Δ	238436352000000 = 220 · 33 · 56 · 72 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-16113,-261783]	[a1,a2,a3,a4,a6]
Generators	[-54:699:1]	Generators of the group modulo torsion
j	29609739866953/15259926528	j-invariant
L	8.2861761588223	L(r)(E,1)/r!
Ω	0.44804542467282	Real period
R	0.308234228887	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	92400dl1 34650z1 462b1 80850ek1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cl1

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

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Quadratic twists for elliptic curve 11550cl1

-4	-3	5	-7	-11
92400dl1	34650z1	462b1	80850ek1	127050cr1

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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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