Atkin-Lehner |
2- 3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440cz |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
18894775910400000 = 222 · 34 · 55 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1090560,-438665292] |
[a1,a2,a3,a4,a6] |
j |
35019735020165514241/4612982400000 |
j-invariant |
L |
5.9094966374878 |
L(r)(E,1)/r! |
Ω |
0.14773743790734 |
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 |
14430ba1 |
Quadratic twists by: -4 |