Cremona's table of elliptic curves

147 = 3 · 7²

Field	Data	Notes
Atkin-Lehner	3+ 7-	Signs for the Atkin-Lehner involutions
Class	147a	Isogeny class
Conductor	147	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2034669218547 = -1 · 3 · 714	Discriminant
Eigenvalues	-1 3+  2 7-  4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1667,72764]	[a1,a2,a3,a4,a6]
j	-4354703137/17294403	j-invariant
L	0.72228624540788	L(r)(E,1)/r!
Ω	0.72228624540788	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	2352v6 9408bj6 441c6 3675j6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 147a6

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
-1	+	2	-	4	2	6	-4	0	-2	0	6	-2	-4	0	6	-12	2	4	0	6	-16	12	14	-18

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Quadratic twists for elliptic curve 147a6

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2352v6	9408bj6	441c6	3675j6	21a6	17787h6	24843d5	42483v5	53067q5	77763l5	123627r5

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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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