Atkin-Lehner |
2- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234bd |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
3339017916416 = 212 · 76 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8119,-265457] |
[a1,a2,a3,a4,a6] |
j |
503028912177/28381184 |
j-invariant |
L |
6.056685903567 |
L(r)(E,1)/r! |
Ω |
0.50472382524722 |
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 |
1066e1 |
Quadratic twists by: -7 |