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	11550bs	Isogeny class
Conductor	11550	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	468993164062500 = 22 · 34 · 512 · 72 · 112	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-19688,-220219]	[a1,a2,a3,a4,a6]
Generators	[369:6367:1]	Generators of the group modulo torsion
j	54014438633401/30015562500	j-invariant
L	6.3236392943923	L(r)(E,1)/r!
Ω	0.4321468767235	Real period
R	3.6582696966004	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	92400gs2 34650bn2 2310k2 80850gh2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bs2

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

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Quadratic twists for elliptic curve 11550bs2

-4	-3	5	-7	-11
92400gs2	34650bn2	2310k2	80850gh2	127050n2

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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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