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	11550z	Isogeny class
Conductor	11550	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	882749355468750 = 2 · 32 · 510 · 73 · 114	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-824776,288232448]	[a1,a2,a3,a4,a6]
Generators	[556:992:1]	Generators of the group modulo torsion
j	3971101377248209009/56495958750	j-invariant
L	4.1950897007621	L(r)(E,1)/r!
Ω	0.45556391234529	Real period
R	0.76738038049834	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	92400dw4 34650dp4 2310m3 80850i4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550z3

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	4	4	-6	0	-2	6	-12	-8	6	8	-14	-12	8	-10	4	-16	10	-6

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Quadratic twists for elliptic curve 11550z3

-4	-3	5	-7	-11
92400dw4	34650dp4	2310m3	80850i4	127050hg4

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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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