Atkin-Lehner |
2- 3+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
93936d |
Isogeny class |
Conductor |
93936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1052708438016 = -1 · 220 · 33 · 192 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 2 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,248,-49424] |
[a1,a2,a3,a4,a6] |
j |
410172407/257008896 |
j-invariant |
L |
1.6342236512527 |
L(r)(E,1)/r! |
Ω |
0.40855594174736 |
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 |
11742a1 |
Quadratic twists by: -4 |