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	11550cs	Isogeny class
Conductor	11550	Conductor
∏ cp	270	Product of Tamagawa factors cp
Δ	-5.4286865493869E+22	Discriminant
Eigenvalues	2- 3- 5- 7- 11+ -7  3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-14587388,-24198889608]	[a1,a2,a3,a4,a6]
Generators	[12778:1363210:1]	Generators of the group modulo torsion
j	-878812616455788778465/138974375664304488	j-invariant
L	8.1529608070879	L(r)(E,1)/r!
Ω	0.038292537642051	Real period
R	0.78856490054612	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92400fg2 34650cj2 11550e2 80850fc2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cs2

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
-	-	-	-	+	-7	3	-4	3	-9	5	-4	-3	-7	-6	-9	3	5	-4	0	14	-10	9	-6	8

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Quadratic twists for elliptic curve 11550cs2

-4	-3	5	-7	-11
92400fg2	34650cj2	11550e2	80850fc2	127050ed2

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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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