Atkin-Lehner |
2+ 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994k |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
148035548324196 = 22 · 32 · 138 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13354,-106400] |
[a1,a2,a3,a4,a6] |
j |
54569318257/30669444 |
j-invariant |
L |
0.9555587086733 |
L(r)(E,1)/r! |
Ω |
0.47777935594693 |
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 |
5538j2 |
Quadratic twists by: 13 |