Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23322u |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-308653031702628288 = -1 · 26 · 32 · 1312 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2970263,-1970765655] |
[a1,a2,a3,a4,a6] |
j |
-600410562009765625/63945565632 |
j-invariant |
L |
6.2100030341619 |
L(r)(E,1)/r! |
Ω |
0.057500028094092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966g3 1794f3 |
Quadratic twists by: -3 13 |