Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
84162v |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-6749732476656 = -1 · 24 · 34 · 137 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1771,121809] |
[a1,a2,a3,a4,a6] |
Generators |
[422:4607:8] |
Generators of the group modulo torsion |
j |
127263527/1398384 |
j-invariant |
L |
11.471028619248 |
L(r)(E,1)/r! |
Ω |
0.55172933443757 |
Real period |
R |
5.1977608894879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954295 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6474h1 |
Quadratic twists by: 13 |