Atkin-Lehner |
2+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440bb |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
2.5107304051917E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -1 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1566145,-714310975] |
[a1,a2,a3,a4,a6] |
j |
3241230881441497058/191553528228125 |
j-invariant |
L |
1.3545424004784 |
L(r)(E,1)/r! |
Ω |
0.13545424037027 |
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 |
69440dt1 8680i1 |
Quadratic twists by: -4 8 |