Atkin-Lehner |
2+ 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832i |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-1451163648 = -1 · 216 · 3 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,-1791] |
[a1,a2,a3,a4,a6] |
Generators |
[25:128:1] |
Generators of the group modulo torsion |
j |
3429500/22143 |
j-invariant |
L |
2.6820716529852 |
L(r)(E,1)/r! |
Ω |
0.75583184658275 |
Real period |
R |
1.7742516532745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999942653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832bk1 16104c1 |
Quadratic twists by: -4 8 |