Atkin-Lehner |
2+ 3+ 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920m |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3636893520 = 24 · 38 · 5 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11575,-475478] |
[a1,a2,a3,a4,a6] |
j |
10720233576749056/227305845 |
j-invariant |
L |
1.8410978979307 |
L(r)(E,1)/r! |
Ω |
0.46027430473017 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960g1 |
Quadratic twists by: -4 |