Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41800d |
Isogeny class |
Conductor |
41800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
83600000000 = 210 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,-15312] |
[a1,a2,a3,a4,a6] |
j |
19307236/5225 |
j-invariant |
L |
1.5902643183458 |
L(r)(E,1)/r! |
Ω |
0.79513215910396 |
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 |
83600k1 8360j1 |
Quadratic twists by: -4 5 |