Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360x |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
893229511200000 = 28 · 3 · 55 · 13 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140585,-20284725] |
[a1,a2,a3,a4,a6] |
j |
1200338653920787456/3489177778125 |
j-invariant |
L |
2.4659850301454 |
L(r)(E,1)/r! |
Ω |
0.24659850300735 |
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 |
96720i1 |
Quadratic twists by: -4 |