Atkin-Lehner |
2- 3+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176l |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1193279827968 = -1 · 212 · 39 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -5 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2160,-65232] |
[a1,a2,a3,a4,a6] |
j |
-13824000/14801 |
j-invariant |
L |
1.3436843969834 |
L(r)(E,1)/r! |
Ω |
0.33592111982173 |
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 |
7011a1 112176m1 |
Quadratic twists by: -4 -3 |