Cremona's table of elliptic curves

12166 = 2 · 7 · 11 · 79

Field	Data	Notes
Atkin-Lehner	2+ 7- 11- 79-	Signs for the Atkin-Lehner involutions
Class	12166j	Isogeny class
Conductor	12166	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	376320	Modular degree for the optimal curve
Δ	-3044531227233599488 = -1 · 214 · 75 · 116 · 792	Discriminant
Eigenvalues	2+  0  0 7- 11-  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-4486007,-3656952227]	[a1,a2,a3,a4,a6]
j	-9983977816007189726663625/3044531227233599488	j-invariant
L	1.5560296849505	L(r)(E,1)/r!
Ω	0.051867656165017	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	97328j1 109494cd1 85162q1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 12166j1

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

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Quadratic twists for elliptic curve 12166j1

-4	-3	-7
97328j1	109494cd1	85162q1

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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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