Atkin-Lehner |
2- 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498br |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
81285120 |
Modular degree for the optimal curve |
Δ |
-3.2491944953598E+28 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2517731411,-49391998877581] |
[a1,a2,a3,a4,a6] |
j |
-419991071569134476356393/7731501782858499456 |
j-invariant |
L |
7.1533962901062 |
L(r)(E,1)/r! |
Ω |
0.010644935019243 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166j1 78498bv1 |
Quadratic twists by: -3 -7 |