Atkin-Lehner |
2- 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760cd |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-50450150400000000 = -1 · 216 · 3 · 58 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59000,9312500] |
[a1,a2,a3,a4,a6] |
j |
5545139013530999/12316931250000 |
j-invariant |
L |
3.9585500916371 |
L(r)(E,1)/r! |
Ω |
0.24740938103524 |
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 |
8970c4 |
Quadratic twists by: -4 |