Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480bp |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-213890625000000 = -1 · 26 · 34 · 512 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13044,403506] |
[a1,a2,a3,a4,a6] |
j |
3834800837445824/3342041015625 |
j-invariant |
L |
0.73036430784268 |
L(r)(E,1)/r! |
Ω |
0.36518215392134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480co1 6240bf4 37440fj1 62400hk1 |
Quadratic twists by: -4 8 -3 5 |