Cremona's table of elliptic curves

127200 = 2⁵ · 3 · 5² · 53

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 53-	Signs for the Atkin-Lehner involutions
Class	127200bp	Isogeny class
Conductor	127200	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	131056704000 = 29 · 36 · 53 · 532	Discriminant
Eigenvalues	2+ 3- 5-  2 -2 -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-149768,22258968]	[a1,a2,a3,a4,a6]
Generators	[-218:6678:1] [1754:795:8]	Generators of the group modulo torsion
j	5805020111875048/2047761	j-invariant
L	14.764278909363	L(r)(E,1)/r!
Ω	0.84067511053962	Real period
R	1.4635339630336	Regulator
r	2	Rank of the group of rational points
S	0.99999999969805	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	127200s2 127200cn2	Quadratic twists by: -4 5

Hecke Eigenvalues for elliptic curve 127200bp2

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

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Quadratic twists for elliptic curve 127200bp2

-4	5
127200s2	127200cn2

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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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