Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bg |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-17169408000000 = -1 · 216 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6433,-279263] |
[a1,a2,a3,a4,a6] |
j |
-28756228/16767 |
j-invariant |
L |
1.0383078463588 |
L(r)(E,1)/r! |
Ω |
0.25957688558371 |
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 |
110400hu1 13800y1 4416g1 |
Quadratic twists by: -4 8 5 |