Atkin-Lehner |
2+ 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570f |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
91655503811560 = 23 · 5 · 138 · 532 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38479,-2858907] |
[a1,a2,a3,a4,a6] |
j |
1305392995089/18988840 |
j-invariant |
L |
2.7293904354092 |
L(r)(E,1)/r! |
Ω |
0.34117379585787 |
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 |
6890k2 |
Quadratic twists by: 13 |