Cremona's table of elliptic curves

3666 = 2 · 3 · 13 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13- 47+	Signs for the Atkin-Lehner involutions
Class	3666d	Isogeny class
Conductor	3666	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	48384	Modular degree for the optimal curve
Δ	-213705791166184512 = -1 · 26 · 3 · 133 · 477	Discriminant
Eigenvalues	2+ 3+  2 -3  3 13-  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,121091,15270397]	[a1,a2,a3,a4,a6]
j	196360308324344317607/213705791166184512	j-invariant
L	1.2574936668595	L(r)(E,1)/r!
Ω	0.20958227780992	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29328y1 117312z1 10998t1 91650dc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3666d1

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	-3	3	-	2	6	0	-1	10	-2	-10	4	+	4	-10	5	-2	6	-5	-6	12	7	-4

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Quadratic twists for elliptic curve 3666d1

-4	8	-3	5	13
29328y1	117312z1	10998t1	91650dc1	47658w1

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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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