Cremona's table of elliptic curves

127449 = 3² · 7² · 17²

Field	Data	Notes
Atkin-Lehner	3- 7- 17+	Signs for the Atkin-Lehner involutions
Class	127449be	Isogeny class
Conductor	127449	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-6.6730764223087E+22	Discriminant
Eigenvalues	1 3-  0 7-  4 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,7899183,9022946890]	[a1,a2,a3,a4,a6]
Generators	[-526936202:469639587082:5177717]	Generators of the group modulo torsion
j	5359375/6561	j-invariant
L	7.8000043862462	L(r)(E,1)/r!
Ω	0.073696736109649	Real period
R	13.229901291533	Regulator
r	1	Rank of the group of rational points
S	1.0000000041456	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	42483l2 2601h2 127449bf2	Quadratic twists by: -3 -7 17

Hecke Eigenvalues for elliptic curve 127449be2

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	-	0	-	4	-2	+	-4	-4	0	4	8	8	4	-8	6	12	-8	12	-12	0	4	-12	-10	-16

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Quadratic twists for elliptic curve 127449be2

-3	-7	17
42483l2	2601h2	127449bf2

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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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