Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bq |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
290172101951953125 = 33 · 58 · 317 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 1 -6 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1401458,637591244] |
[a1,a2,a3,a4,a6] |
j |
878080000/837 |
j-invariant |
L |
1.8369571363263 |
L(r)(E,1)/r! |
Ω |
0.30615952374011 |
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 |
72075k1 2325f1 |
Quadratic twists by: 5 -31 |