Atkin-Lehner |
2- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120bn |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
68786585600 = 226 · 52 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 2 2 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1025,-1025] |
[a1,a2,a3,a4,a6] |
j |
454756609/262400 |
j-invariant |
L |
1.840615605311 |
L(r)(E,1)/r! |
Ω |
0.9203078026555 |
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 |
13120s1 3280h1 118080dz1 65600cb1 |
Quadratic twists by: -4 8 -3 5 |