Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400cz |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1169012736000000 = -1 · 217 · 39 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 4 6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4725,1640250] |
[a1,a2,a3,a4,a6] |
j |
9261/928 |
j-invariant |
L |
2.9897872096262 |
L(r)(E,1)/r! |
Ω |
0.37372334741242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13050z1 104400dk1 4176q1 |
Quadratic twists by: -4 -3 5 |