Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gj |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-316273825125000000 = -1 · 26 · 314 · 59 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-415008,-106263738] |
[a1,a2,a3,a4,a6] |
Generators |
[12919332283:422172142000:9129329] |
Generators of the group modulo torsion |
j |
-7904859665241664/316273825125 |
j-invariant |
L |
5.764013393128 |
L(r)(E,1)/r! |
Ω |
0.093829246459872 |
Real period |
R |
15.357720608925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400hs1 55200cj2 22080cw1 |
Quadratic twists by: -4 8 5 |