Atkin-Lehner |
2- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320bl |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
53372887040000 = 216 · 54 · 114 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11+ -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15960,-686608] |
[a1,a2,a3,a4,a6] |
j |
109771509498841/13030490000 |
j-invariant |
L |
3.4244043980972 |
L(r)(E,1)/r! |
Ω |
0.42805055605239 |
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 |
9790f1 |
Quadratic twists by: -4 |