Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gm |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
5472858496420800 = 26 · 312 · 52 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -5 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-445428,-114219558] |
[a1,a2,a3,a4,a6] |
Generators |
[-133371:67068:343] |
Generators of the group modulo torsion |
j |
6108537517191549760/3420536560263 |
j-invariant |
L |
5.4138380546659 |
L(r)(E,1)/r! |
Ω |
0.1848075422628 |
Real period |
R |
2.9294464977301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999963625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ht1 55200bc1 110400iw1 |
Quadratic twists by: -4 8 5 |