Atkin-Lehner |
2- 3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78660o |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-76457520 = -1 · 24 · 37 · 5 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,421] |
[a1,a2,a3,a4,a6] |
j |
-16384/6555 |
j-invariant |
L |
3.1407355089362 |
L(r)(E,1)/r! |
Ω |
1.5703677739294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26220d1 |
Quadratic twists by: -3 |