Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ge |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
1427148253440000000 = 214 · 36 · 57 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-303408,28783188] |
[a1,a2,a3,a4,a6] |
Generators |
[-588:2058:1] [-462:8400:1] |
Generators of the group modulo torsion |
j |
48264326765929/22299191460 |
j-invariant |
L |
13.840904845091 |
L(r)(E,1)/r! |
Ω |
0.24126750505074 |
Real period |
R |
0.39838516479596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650bs1 21840bf1 |
Quadratic twists by: -4 5 |