Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bo |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
182700 |
Modular degree for the optimal curve |
Δ |
-1664069401875 = -1 · 3 · 54 · 316 |
Discriminant |
Eigenvalues |
2 3- 5- -3 -2 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8008,280069] |
[a1,a2,a3,a4,a6] |
j |
-102400/3 |
j-invariant |
L |
0.83867285305689 |
L(r)(E,1)/r! |
Ω |
0.83867283965754 |
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 |
72075m2 75a1 |
Quadratic twists by: 5 -31 |