Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400v |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-13565952000000 = -1 · 222 · 32 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4767,122337] |
[a1,a2,a3,a4,a6] |
j |
2924207/3312 |
j-invariant |
L |
1.8818466166917 |
L(r)(E,1)/r! |
Ω |
0.47046177732961 |
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 |
110400hm1 3450i1 4416i1 |
Quadratic twists by: -4 8 5 |