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	11550cm	Isogeny class
Conductor	11550	Conductor
∏ cp	6272	Product of Tamagawa factors cp
Δ	-1.4069946218319E+24	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,27983537,-3240648583]	[a1,a2,a3,a4,a6]
Generators	[11762:-1403431:1]	Generators of the group modulo torsion
j	155099895405729262880471/90047655797243760000	j-invariant
L	8.2719237300288	L(r)(E,1)/r!
Ω	0.050589936301046	Real period
R	0.10427887339343	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	92400dn3 34650bc3 2310b4 80850et3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550cm4

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

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Quadratic twists for elliptic curve 11550cm4

-4	-3	5	-7	-11
92400dn3	34650bc3	2310b4	80850et3	127050dd3

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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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