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	11550u	Isogeny class
Conductor	11550	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	53760	Modular degree for the optimal curve
Δ	-95622912000000 = -1 · 214 · 32 · 56 · 73 · 112	Discriminant
Eigenvalues	2+ 3- 5+ 7+ 11+  6  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-10126,611648]	[a1,a2,a3,a4,a6]
j	-7347774183121/6119866368	j-invariant
L	2.2007354474217	L(r)(E,1)/r!
Ω	0.55018386185542	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	92400eu1 34650df1 462e1 80850p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550u1

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

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Quadratic twists for elliptic curve 11550u1

-4	-3	5	-7	-11
92400eu1	34650df1	462e1	80850p1	127050ij1

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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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