Atkin-Lehner |
3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075k |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
18571014524925 = 33 · 52 · 317 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 1 6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-56058,5123153] |
[a1,a2,a3,a4,a6] |
j |
878080000/837 |
j-invariant |
L |
1.3691869730245 |
L(r)(E,1)/r! |
Ω |
0.68459350704185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075bq1 2325j1 |
Quadratic twists by: 5 -31 |