Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105j |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14708736 |
Modular degree for the optimal curve |
Δ |
-6.4149085327807E+21 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11+ 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19167346,-32521820829] |
[a1,a2,a3,a4,a6] |
j |
-6619442934477749579776/54525822852558915 |
j-invariant |
L |
1.2981290748392 |
L(r)(E,1)/r! |
Ω |
0.036059153653499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2145h1 |
Quadratic twists by: -7 |