Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ii |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-784796221440000 = -1 · 226 · 35 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16415,-1072225] |
[a1,a2,a3,a4,a6] |
j |
1865864036231/2993760000 |
j-invariant |
L |
5.3148609382305 |
L(r)(E,1)/r! |
Ω |
0.26574304787267 |
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 |
73920y1 18480bu1 |
Quadratic twists by: -4 8 |