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	11550i	Isogeny class
Conductor	11550	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	72067365562500 = 22 · 34 · 56 · 76 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-62925,6035625]	[a1,a2,a3,a4,a6]
Generators	[60:1545:1]	Generators of the group modulo torsion
j	1763535241378513/4612311396	j-invariant
L	3.1204068567401	L(r)(E,1)/r!
Ω	0.61667611221538	Real period
R	0.42167014349588	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	92400ga2 34650di2 462f2 80850ck2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550i2

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

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Quadratic twists for elliptic curve 11550i2

-4	-3	5	-7	-11
92400ga2	34650di2	462f2	80850ck2	127050fi2

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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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