Cremona's table of elliptic curves

Curve 6486a2

6486 = 2 · 3 · 23 · 47



Data for elliptic curve 6486a2

Field Data Notes
Atkin-Lehner 2+ 3+ 23+ 47+ Signs for the Atkin-Lehner involutions
Class 6486a Isogeny class
Conductor 6486 Conductor
∏ cp 8 Product of Tamagawa factors cp
Δ 1506867972715008 = 29 · 32 · 236 · 472 Discriminant
Eigenvalues 2+ 3+  2  0  0 -4  2  0 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-36489,1910853] [a1,a2,a3,a4,a6]
Generators [49:469:1] Generators of the group modulo torsion
j 5373140456152040473/1506867972715008 j-invariant
L 2.8460013136503 L(r)(E,1)/r!
Ω 0.44456364060615 Real period
R 3.2008930259904 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 51888x2 19458n2 Quadratic twists by: -4 -3


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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