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	11550ci	Isogeny class
Conductor	11550	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	36864	Modular degree for the optimal curve
Δ	2587200000000 = 212 · 3 · 58 · 72 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11-  6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-21588,-1220208]	[a1,a2,a3,a4,a6]
j	71210194441849/165580800	j-invariant
L	4.7270290722455	L(r)(E,1)/r!
Ω	0.3939190893538	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	92400eh1 34650m1 2310c1 80850ev1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550ci1

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

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Quadratic twists for elliptic curve 11550ci1

-4	-3	5	-7	-11
92400eh1	34650m1	2310c1	80850ev1	127050dq1

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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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