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	11550bk	Isogeny class
Conductor	11550	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	331776	Modular degree for the optimal curve
Δ	880165440000000 = 212 · 36 · 57 · 73 · 11	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11+ -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-7163338,7376419031]	[a1,a2,a3,a4,a6]
j	2601656892010848045529/56330588160	j-invariant
L	2.1639563518407	L(r)(E,1)/r!
Ω	0.36065939197345	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	92400hf1 34650s1 2310g1 80850fx1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11550bk1

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
-	+	+	+	+	-2	6	-4	0	-6	-4	-2	-6	4	0	6	12	14	16	0	-2	-4	0	-6	10

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Quadratic twists for elliptic curve 11550bk1

-4	-3	5	-7	-11
92400hf1	34650s1	2310g1	80850fx1	127050be1

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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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