Atkin-Lehner |
2- 3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
96408l |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-774541872 = -1 · 24 · 33 · 132 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,66,-1323] |
[a1,a2,a3,a4,a6] |
j |
73598976/1792921 |
j-invariant |
L |
3.0903290463564 |
L(r)(E,1)/r! |
Ω |
0.77258229380949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96408a1 |
Quadratic twists by: -3 |