Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
69440do |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2956800 |
Modular degree for the optimal curve |
Δ |
1.9721041794765E+19 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -1 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16244065,25193079775] |
[a1,a2,a3,a4,a6] |
j |
14466316408973098133192/601838433678125 |
j-invariant |
L |
2.0340893149527 |
L(r)(E,1)/r! |
Ω |
0.20340893011605 |
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 |
69440dj1 34720h1 |
Quadratic twists by: -4 8 |