Atkin-Lehner |
2+ 3+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32136b |
Isogeny class |
Conductor |
32136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1933256512512 = 210 · 34 · 133 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46560,-3850884] |
[a1,a2,a3,a4,a6] |
j |
10901142028632964/1887945813 |
j-invariant |
L |
1.9500749261157 |
L(r)(E,1)/r! |
Ω |
0.32501248768482 |
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 |
64272h2 96408p2 |
Quadratic twists by: -4 -3 |