Atkin-Lehner |
2+ 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232f |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
264881093428224 = 210 · 310 · 72 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25264,-1324196] |
[a1,a2,a3,a4,a6] |
j |
1741595458809028/258672942801 |
j-invariant |
L |
0.76488956992903 |
L(r)(E,1)/r! |
Ω |
0.38244478482121 |
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 |
100464n2 |
Quadratic twists by: -4 |