Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818bb |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
1118671717072896 = 216 · 32 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32292,-1551600] |
[a1,a2,a3,a4,a6] |
j |
92284130359/27721728 |
j-invariant |
L |
5.8307169129223 |
L(r)(E,1)/r! |
Ω |
0.36441980705764 |
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 |
110544cn1 41454bf1 13818v1 |
Quadratic twists by: -4 -3 -7 |