Atkin-Lehner |
2- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33350h |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-537842995437500 = -1 · 22 · 56 · 233 · 294 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7680,-1143553] |
[a1,a2,a3,a4,a6] |
j |
-3205784543625/34421951708 |
j-invariant |
L |
0.44201724182264 |
L(r)(E,1)/r! |
Ω |
0.22100862091046 |
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 |
1334b1 |
Quadratic twists by: 5 |