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	11550cp	Isogeny class
Conductor	11550	Conductor
∏ cp	840	Product of Tamagawa factors cp
deg	201600	Modular degree for the optimal curve
Δ	-31960570950000000 = -1 · 27 · 34 · 58 · 72 · 115	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  1 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-785138,267845892]	[a1,a2,a3,a4,a6]
Generators	[-548:23374:1]	Generators of the group modulo torsion
j	-137025597360350785/81819061632	j-invariant
L	8.0459976573824	L(r)(E,1)/r!
Ω	0.36581598352629	Real period
R	0.026184117346126	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92400fi1 34650bp1 11550h1 80850fe1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cp1

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
-	-	-	+	-	1	-6	-1	-3	1	-7	4	-8	-11	8	-4	-8	-10	-12	-11	16	-2	7	5	5

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Quadratic twists for elliptic curve 11550cp1

-4	-3	5	-7	-11
92400fi1	34650bp1	11550h1	80850fe1	127050ek1

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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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