Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400gb |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-9657792000000 = -1 · 212 · 38 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4633,194137] |
[a1,a2,a3,a4,a6] |
j |
-171879616/150903 |
j-invariant |
L |
2.6593704473342 |
L(r)(E,1)/r! |
Ω |
0.66484274906701 |
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 |
110400iu1 55200ch1 4416bb1 |
Quadratic twists by: -4 8 5 |