Cremona's table of elliptic curves

106032 = 2⁴ · 3 · 47²

Field	Data	Notes
Atkin-Lehner	2- 3+ 47-	Signs for the Atkin-Lehner involutions
Class	106032u	Isogeny class
Conductor	106032	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	6225384904249344 = 212 · 3 · 477	Discriminant
Eigenvalues	2- 3+ -2  0  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-26579424,52752058944]	[a1,a2,a3,a4,a6]
Generators	[14330558565974:3604300124690:4801149703]	Generators of the group modulo torsion
j	47034153084673/141	j-invariant
L	5.3088142930786	L(r)(E,1)/r!
Ω	0.28078368156538	Real period
R	18.907132521304	Regulator
r	1	Rank of the group of rational points
S	1.0000000029954	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6627g3 2256j3	Quadratic twists by: -4 -47

Hecke Eigenvalues for elliptic curve 106032u4

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	0	4	2	2	0	0	6	-4	-10	2	8	-	-2	4	14	-8	-16	-2	-8	4	18	-14

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Quadratic twists for elliptic curve 106032u4

-4	-47
6627g3	2256j3

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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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