Atkin-Lehner |
2- 3- 7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
39858o |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
2099520 |
Modular degree for the optimal curve |
Δ |
1392738763658231808 = 218 · 33 · 75 · 133 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20757842,36399905028] |
[a1,a2,a3,a4,a6] |
j |
989168594482347005927303713/1392738763658231808 |
j-invariant |
L |
6.19463329351 |
L(r)(E,1)/r! |
Ω |
0.229430862723 |
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 |
119574g1 |
Quadratic twists by: -3 |