Atkin-Lehner |
2- 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558n |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
8175657796488 = 23 · 32 · 74 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-155815307,-748688142607] |
[a1,a2,a3,a4,a6] |
j |
418363773366867122598323253553/8175657796488 |
j-invariant |
L |
4.1022134836621 |
L(r)(E,1)/r! |
Ω |
0.042731390454813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464bs4 37674k4 87906bn4 |
Quadratic twists by: -4 -3 -7 |