Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800w |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2998219536000000 = -1 · 210 · 38 · 56 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30525,1651250] |
[a1,a2,a3,a4,a6] |
j |
269676572/257049 |
j-invariant |
L |
2.3651022811661 |
L(r)(E,1)/r! |
Ω |
0.29563778510014 |
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 |
23400m3 15600e4 1872h4 |
Quadratic twists by: -4 -3 5 |