Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93248bj |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
2890688 = 26 · 312 · 47 |
Discriminant |
Eigenvalues |
2- 2 2 4 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52,138] |
[a1,a2,a3,a4,a6] |
Generators |
[7424655:6035534:1157625] |
Generators of the group modulo torsion |
j |
247673152/45167 |
j-invariant |
L |
13.590345104845 |
L(r)(E,1)/r! |
Ω |
2.4184605602319 |
Real period |
R |
11.238839553565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93248be1 46624d2 |
Quadratic twists by: -4 8 |