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
Δ	143223349500000 = 25 · 312 · 56 · 72 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2300113,1342486217]	[a1,a2,a3,a4,a6]
Generators	[878:-313:1]	Generators of the group modulo torsion
j	86129359107301290313/9166294368	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	92400dl4 34650z4 462b3 80850ek4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cl3

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 11550cl3

-4	-3	5	-7	-11
92400dl4	34650z4	462b3	80850ek4	127050cr4

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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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