Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248bc |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
47742976 = 215 · 31 · 47 |
Discriminant |
Eigenvalues |
2- -1 -1 3 0 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,769] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
14172488/1457 |
j-invariant |
L |
5.1680626970153 |
L(r)(E,1)/r! |
Ω |
1.9531364850992 |
Real period |
R |
0.66150813566107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248bg1 46624a1 |
Quadratic twists by: -4 8 |