Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dm |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
1088819200000 = 215 · 55 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 3 -3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2572,464] |
[a1,a2,a3,a4,a6] |
j |
57423104712/33228125 |
j-invariant |
L |
7.3728634002795 |
L(r)(E,1)/r! |
Ω |
0.73728634152895 |
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 |
69440dq1 34720f1 |
Quadratic twists by: -4 8 |