Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120s |
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] |
Generators |
[-8:93:1] |
Generators of the group modulo torsion |
j |
454756609/262400 |
j-invariant |
L |
6.6947582641959 |
L(r)(E,1)/r! |
Ω |
0.93354066221089 |
Real period |
R |
3.5856811252018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bn1 410d1 118080y1 65600x1 |
Quadratic twists by: -4 8 -3 5 |