Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dn |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-519820996608 = -1 · 212 · 38 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6233,-194649] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1404:1] |
Generators of the group modulo torsion |
j |
-6539203000000/126909423 |
j-invariant |
L |
10.732015548956 |
L(r)(E,1)/r! |
Ω |
0.26834274488283 |
Real period |
R |
2.4996053993158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064bz1 64032d1 |
Quadratic twists by: -4 8 |