Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bn |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
49574291551258125 = 3 · 54 · 319 |
Discriminant |
Eigenvalues |
2 3- 5- 0 -3 -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-248258,-46472581] |
[a1,a2,a3,a4,a6] |
j |
102400/3 |
j-invariant |
L |
5.1423639153363 |
L(r)(E,1)/r! |
Ω |
0.21426516499349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075l1 72075v1 |
Quadratic twists by: 5 -31 |