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	11550y	Isogeny class
Conductor	11550	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	29541333287812500 = 22 · 32 · 57 · 72 · 118	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11+  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1183626,-495673352]	[a1,a2,a3,a4,a6]
Generators	[-628:576:1]	Generators of the group modulo torsion
j	11736717412386894481/1890645330420	j-invariant
L	4.3668147746392	L(r)(E,1)/r!
Ω	0.14474386746506	Real period
R	1.8855784925108	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	92400du6 34650dn6 2310n5 80850l6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550y5

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

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Quadratic twists for elliptic curve 11550y5

-4	-3	5	-7	-11
92400du6	34650dn6	2310n5	80850l6	127050hh6

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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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