Atkin-Lehner |
2+ 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400x |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1097728 |
Modular degree for the optimal curve |
Δ |
856234962000 = 24 · 34 · 53 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976503,1070192452] |
[a1,a2,a3,a4,a6] |
Generators |
[6458:1881:8] |
Generators of the group modulo torsion |
j |
426959193842199246848/428117481 |
j-invariant |
L |
6.1036434693479 |
L(r)(E,1)/r! |
Ω |
0.55988605271185 |
Real period |
R |
0.68134884368895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400di1 |
Quadratic twists by: 5 |