Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824t |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
1549331237392089088 = 218 · 713 · 61 |
Discriminant |
Eigenvalues |
2- -1 2 7- -1 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-312832,30912512] |
[a1,a2,a3,a4,a6] |
j |
7026036894577/3215111872 |
j-invariant |
L |
1.9191471799517 |
L(r)(E,1)/r! |
Ω |
0.23989339755459 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978l1 6832c1 |
Quadratic twists by: -4 -7 |