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	11550ct	Isogeny class
Conductor	11550	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-341085937500 = -1 · 22 · 34 · 59 · 72 · 11	Discriminant
Eigenvalues	2- 3- 5- 7- 11- -2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1737,-3483]	[a1,a2,a3,a4,a6]
j	296740963/174636	j-invariant
L	4.5113301786501	L(r)(E,1)/r!
Ω	0.56391627233126	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	92400ex1 34650bz1 11550m1 80850ff1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550ct1

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	-6	0	0	8	2	-4	4	2	6	0	14	2	4	10	10	12	6	10

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Quadratic twists for elliptic curve 11550ct1

-4	-3	5	-7	-11
92400ex1	34650bz1	11550m1	80850ff1	127050dv1

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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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