Atkin-Lehner |
2+ 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064q |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
3457728 = 26 · 34 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-892,-9962] |
[a1,a2,a3,a4,a6] |
Generators |
[314:945:8] [4355:756:125] |
Generators of the group modulo torsion |
j |
1227792814912/54027 |
j-invariant |
L |
11.434552210545 |
L(r)(E,1)/r! |
Ω |
0.87351209387638 |
Real period |
R |
26.180638579632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064y1 64032bh4 |
Quadratic twists by: -4 8 |