Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720cf |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1975680 |
Modular degree for the optimal curve |
Δ |
-1.1917487348122E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11636416,15275392820] |
[a1,a2,a3,a4,a6] |
j |
-42542354080718101165249/2909542809600000 |
j-invariant |
L |
3.0048593874906 |
L(r)(E,1)/r! |
Ω |
0.21463281337938 |
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 |
6090q1 |
Quadratic twists by: -4 |