Atkin-Lehner |
2- 3- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434bg |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
299452123152 = 24 · 314 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1706,-6055] |
[a1,a2,a3,a4,a6] |
j |
752825955673/410771088 |
j-invariant |
L |
3.1723097587553 |
L(r)(E,1)/r! |
Ω |
0.79307743760444 |
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 |
23478o1 |
Quadratic twists by: -3 |