Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296k |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
32417031244480512 = 230 · 3 · 72 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-831073,-291207455] |
[a1,a2,a3,a4,a6] |
Generators |
[1488:42007:1] |
Generators of the group modulo torsion |
j |
242159678927097625/123661160448 |
j-invariant |
L |
6.294895240869 |
L(r)(E,1)/r! |
Ω |
0.15812590668623 |
Real period |
R |
6.6348976511746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bv3 2478b3 |
Quadratic twists by: -4 8 |