Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064m |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
5.0689783645559E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94329603,352495734876] |
[a1,a2,a3,a4,a6] |
j |
1201953427358681344000/656357332110597 |
j-invariant |
L |
0.44473393327858 |
L(r)(E,1)/r! |
Ω |
0.11118347804922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5928a1 |
Quadratic twists by: 13 |