Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800ba |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
150837781250000 = 24 · 59 · 136 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14083,-249588] |
[a1,a2,a3,a4,a6] |
Generators |
[-22563:287639:729] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
8.1279223902598 |
L(r)(E,1)/r! |
Ω |
0.46043123266987 |
Real period |
R |
8.8264238104886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67600z1 33800o1 200d1 |
Quadratic twists by: -4 5 13 |