Atkin-Lehner |
2+ 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558f |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-4.0222724332129E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7027392,7792006660] |
[a1,a2,a3,a4,a6] |
j |
-38380105394519107097435257/4022272433212893301806 |
j-invariant |
L |
1.8971397604677 |
L(r)(E,1)/r! |
Ω |
0.13550998289055 |
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 |
100464bg2 37674o2 87906f2 |
Quadratic twists by: -4 -3 -7 |