Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gn |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
2.9992982824098E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13039896,18117957780] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:141120:1] |
Generators of the group modulo torsion |
j |
508859562767519881/62240270400 |
j-invariant |
L |
7.6615361752679 |
L(r)(E,1)/r! |
Ω |
0.20125855577864 |
Real period |
R |
1.1896289608553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999541786 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170d2 18480cj2 |
Quadratic twists by: -4 -7 |