Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bh |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
199763200 = 28 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 6 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160,380] |
[a1,a2,a3,a4,a6] |
j |
70778880/31213 |
j-invariant |
L |
6.4269512689828 |
L(r)(E,1)/r! |
Ω |
1.6067378172433 |
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 |
9100h1 36400cx1 |
Quadratic twists by: -4 5 |