Atkin-Lehner |
2- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398l |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8985600 |
Modular degree for the optimal curve |
Δ |
-1.240713727043E+21 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 0 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,619860,-1684416977] |
[a1,a2,a3,a4,a6] |
j |
5456888637366375/257046368945408 |
j-invariant |
L |
10.583271530772 |
L(r)(E,1)/r! |
Ω |
0.073494935337242 |
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 |
742d1 |
Quadratic twists by: 13 |