Atkin-Lehner |
2- 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558n |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
451521457781599296 = 26 · 34 · 78 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9738467,-11701269439] |
[a1,a2,a3,a4,a6] |
j |
102139918202985795140993713/451521457781599296 |
j-invariant |
L |
4.1022134836621 |
L(r)(E,1)/r! |
Ω |
0.085462780909627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464bs2 37674k2 87906bn2 |
Quadratic twists by: -4 -3 -7 |