Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12078j |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
16413452402688 = 225 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-125640,-17108672] |
[a1,a2,a3,a4,a6] |
Generators |
[-26776841349:13478218262:131872229] |
Generators of the group modulo torsion |
j |
300872095888141441/22515023872 |
j-invariant |
L |
4.0999208004513 |
L(r)(E,1)/r! |
Ω |
0.25358254767711 |
Real period |
R |
16.167992781868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624bu1 1342c1 |
Quadratic twists by: -4 -3 |