Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064cj |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
67092480 |
Modular degree for the optimal curve |
Δ |
-1.3248981566319E+25 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1374938041,-19623657555527] |
[a1,a2,a3,a4,a6] |
Generators |
[146109360189780781358677493828225:749035181614491000282113981369697024:5559411257270781287328125] |
Generators of the group modulo torsion |
j |
-70179965163610934283134098624/3234614640214599547767 |
j-invariant |
L |
8.81060300881 |
L(r)(E,1)/r! |
Ω |
0.012396456935546 |
Real period |
R |
44.420973743848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064dx1 64032s1 |
Quadratic twists by: -4 8 |