Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600gb |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-3846878406881280000 = -1 · 215 · 38 · 54 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-342075,-121798550] |
[a1,a2,a3,a4,a6] |
j |
-2372030262025/2061298872 |
j-invariant |
L |
1.5237929566157 |
L(r)(E,1)/r! |
Ω |
0.095237093594723 |
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 |
13950dc1 37200dr1 111600ee2 |
Quadratic twists by: -4 -3 5 |