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	11550bl	Isogeny class
Conductor	11550	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-5440498352050781250 = -1 · 2 · 33 · 518 · 74 · 11	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-319563,131883531]	[a1,a2,a3,a4,a6]
j	-230979395175477481/348191894531250	j-invariant
L	1.733244102518	L(r)(E,1)/r!
Ω	0.21665551281475	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	92400hi4 34650q4 2310l5 80850fw4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bl5

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	-4	0	6	-4	-2	6	4	0	-6	0	2	4	0	-2	8	-12	6	-2

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Quadratic twists for elliptic curve 11550bl5

-4	-3	5	-7	-11
92400hi4	34650q4	2310l5	80850fw4	127050bd4

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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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