Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23322u |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-28941287409898812 = -1 · 22 · 36 · 138 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3292,-8184372] |
[a1,a2,a3,a4,a6] |
j |
817400375/5995946268 |
j-invariant |
L |
6.2100030341619 |
L(r)(E,1)/r! |
Ω |
0.17250008428228 |
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 |
69966g1 1794f1 |
Quadratic twists by: -3 13 |