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	11550bt	Isogeny class
Conductor	11550	Conductor
∏ cp	520	Product of Tamagawa factors cp
Δ	2.6094747130341E+21	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+ -6 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-11305888,14419449281]	[a1,a2,a3,a4,a6]
Generators	[-395:137397:1]	Generators of the group modulo torsion
j	10228636028672744397625/167006381634183168	j-invariant
L	5.818983268974	L(r)(E,1)/r!
Ω	0.14441965203856	Real period
R	0.30993988096154	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	92400gu2 34650bo2 462d2 80850ge2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bt2

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	-4	6	4	6	-2	-10	-4	-8	6	10	0	-2	4	16	-12	-16	2	-6	6

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Quadratic twists for elliptic curve 11550bt2

-4	-3	5	-7	-11
92400gu2	34650bo2	462d2	80850ge2	127050m2

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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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