Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352s |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-3280290315743232 = -1 · 212 · 35 · 113 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125077,17289373] |
[a1,a2,a3,a4,a6] |
j |
-39693696892928/601692057 |
j-invariant |
L |
0.89681864778225 |
L(r)(E,1)/r! |
Ω |
0.44840933194049 |
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 |
6897c1 110352u1 |
Quadratic twists by: -4 -11 |