Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800d |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
178506250000 = 24 · 58 · 134 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,313] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:125:1] |
Generators of the group modulo torsion |
j |
43264/25 |
j-invariant |
L |
6.8847019941975 |
L(r)(E,1)/r! |
Ω |
0.86047690788106 |
Real period |
R |
1.0001288139085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600k1 6760h1 33800q1 |
Quadratic twists by: -4 5 13 |