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	11550bn	Isogeny class
Conductor	11550	Conductor
∏ cp	21	Product of Tamagawa factors cp
deg	6048	Modular degree for the optimal curve
Δ	-804988800 = -1 · 27 · 33 · 52 · 7 · 113	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11-  4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-83,1361]	[a1,a2,a3,a4,a6]
Generators	[11:-50:1]	Generators of the group modulo torsion
j	-2531307865/32199552	j-invariant
L	5.9449536737005	L(r)(E,1)/r!
Ω	1.3492360527069	Real period
R	0.20981727512619	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	92400gx1 34650k1 11550bi1 80850gq1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bn1

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
-	+	+	+	-	4	0	2	-6	-6	-10	-2	0	1	-3	9	-6	2	4	-12	-11	-4	9	-9	16

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Quadratic twists for elliptic curve 11550bn1

-4	-3	5	-7	-11
92400gx1	34650k1	11550bi1	80850gq1	127050bh1

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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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