Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700ch |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
734400 |
Modular degree for the optimal curve |
Δ |
5240221477920000 = 28 · 36 · 54 · 112 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98400,-11358700] |
[a1,a2,a3,a4,a6] |
j |
903361331200/44926453 |
j-invariant |
L |
2.7038930974341 |
L(r)(E,1)/r! |
Ω |
0.27038932181099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14300j1 128700t1 |
Quadratic twists by: -3 5 |