Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432br |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-19146224959488 = -1 · 220 · 38 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6045,-107678] |
[a1,a2,a3,a4,a6] |
j |
8181353375/6412032 |
j-invariant |
L |
3.0571949553915 |
L(r)(E,1)/r! |
Ω |
0.38214936942404 |
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 |
4554l1 12144bk1 |
Quadratic twists by: -4 -3 |