Cremona's table of elliptic curves

147 = 3 · 7²

Field	Data	Notes
Atkin-Lehner	3+ 7-	Signs for the Atkin-Lehner involutions
Class	147c	Isogeny class
Conductor	147	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-78121827 = -1 · 313 · 72	Discriminant
Eigenvalues	2 3+  2 7- -2 -1  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-912,10919]	[a1,a2,a3,a4,a6]
j	-1713910976512/1594323	j-invariant
L	1.920053745349	L(r)(E,1)/r!
Ω	1.920053745349	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	2352u2 9408bi2 441f2 3675n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 147c2

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	+	2	-	-2	-1	0	-1	0	4	-9	3	10	5	6	12	12	-10	-5	-6	3	-1	-6	-16	6

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Quadratic twists for elliptic curve 147c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2352u2	9408bi2	441f2	3675n2	147b2	17787k2	24843g2	42483x2	53067w2	77763q2	123627t2

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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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