Atkin-Lehner |
2+ 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850d |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3032640 |
Modular degree for the optimal curve |
Δ |
-8.7454938925274E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 5 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1554392,1606878016] |
[a1,a2,a3,a4,a6] |
j |
-26581868211026710737/55971160912175104 |
j-invariant |
L |
0.70195652874059 |
L(r)(E,1)/r! |
Ω |
0.1403913058353 |
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 |
2914d1 |
Quadratic twists by: 5 |