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	48	Product of Tamagawa factors cp
Δ	42821482278093750 = 2 · 32 · 56 · 712 · 11	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-87675,813375]	[a1,a2,a3,a4,a6]
Generators	[5:610:1]	Generators of the group modulo torsion
j	4770223741048753/2740574865798	j-invariant
L	3.1204068567401	L(r)(E,1)/r!
Ω	0.30833805610769	Real period
R	0.84334028699177	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	92400ga3 34650di3 462f3 80850ck3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550i3

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 11550i3

-4	-3	5	-7	-11
92400ga3	34650di3	462f3	80850ck3	127050fi3

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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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