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	11550k	Isogeny class
Conductor	11550	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3.8543472290039E+22	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-16808025,-24791074875]	[a1,a2,a3,a4,a6]
Generators	[22032081381284015:-2855876658439665445:1244725268093]	Generators of the group modulo torsion
j	33608860073906150870929/2466782226562500000	j-invariant
L	3.0599713535341	L(r)(E,1)/r!
Ω	0.074908061457623	Real period
R	20.424846765426	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	92400ge3 34650dk3 2310r4 80850cn3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550k4

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

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Quadratic twists for elliptic curve 11550k4

-4	-3	5	-7	-11
92400ge3	34650dk3	2310r4	80850cn3	127050fo3

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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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