Atkin-Lehner |
2- 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558r |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
3270136955904 = 210 · 36 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4284,63504] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:432:1] |
Generators of the group modulo torsion |
j |
8695177152371137/3270136955904 |
j-invariant |
L |
7.4033018701991 |
L(r)(E,1)/r! |
Ω |
0.72640857618271 |
Real period |
R |
0.33972166229569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464v2 37674g2 87906bh2 |
Quadratic twists by: -4 -3 -7 |