Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13800bb |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-88320000 = -1 · 211 · 3 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 0 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-1312] |
[a1,a2,a3,a4,a6] |
j |
-781250/69 |
j-invariant |
L |
1.8755063250206 |
L(r)(E,1)/r! |
Ω |
0.62516877500687 |
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 |
27600p1 110400bz1 41400z1 13800e1 |
Quadratic twists by: -4 8 -3 5 |