Atkin-Lehner |
2- 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760bk |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1782518400000000 = 213 · 34 · 58 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-174920,-28026768] |
[a1,a2,a3,a4,a6] |
j |
144505591826923081/435185156250 |
j-invariant |
L |
3.7358384637325 |
L(r)(E,1)/r! |
Ω |
0.23348990286081 |
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 |
8970g2 |
Quadratic twists by: -4 |