Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320ci |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-13897352400076800 = -1 · 221 · 310 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,46559,4164959] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1728:1] |
Generators of the group modulo torsion |
j |
42578013373559/53014192200 |
j-invariant |
L |
7.210302184483 |
L(r)(E,1)/r! |
Ω |
0.26593285684345 |
Real period |
R |
0.67783107645317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320e2 16080s2 |
Quadratic twists by: -4 8 |