Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296ds |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-122901557339897856 = -1 · 214 · 312 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,94884,12567440] |
[a1,a2,a3,a4,a6] |
Generators |
[190:6120:1] |
Generators of the group modulo torsion |
j |
7909612346288/10289870721 |
j-invariant |
L |
5.6041193641966 |
L(r)(E,1)/r! |
Ω |
0.22246238671715 |
Real period |
R |
1.5744570085093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998962413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bq2 31824bc2 42432bt2 |
Quadratic twists by: -4 8 -3 |