Atkin-Lehner |
2+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12848a |
Isogeny class |
Conductor |
12848 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
-3009721088 = -1 · 28 · 115 · 73 |
Discriminant |
Eigenvalues |
2+ 1 0 -5 11- -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-383273,-91457245] |
[a1,a2,a3,a4,a6] |
j |
-24322575388386688000/11756723 |
j-invariant |
L |
0.47969193014253 |
L(r)(E,1)/r! |
Ω |
0.095938386028507 |
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 |
6424a1 51392h1 115632d1 |
Quadratic twists by: -4 8 -3 |