Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700n |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-17738278593750000 = -1 · 24 · 38 · 510 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 13- 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31875,-6021875] |
[a1,a2,a3,a4,a6] |
j |
31443200/155727 |
j-invariant |
L |
2.3469083294948 |
L(r)(E,1)/r! |
Ω |
0.19557599343594 |
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 |
42900bf1 128700bn1 |
Quadratic twists by: -3 5 |