Atkin-Lehner |
2- 3- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39858p |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
970368 |
Modular degree for the optimal curve |
Δ |
151299256317640704 = 219 · 32 · 7 · 137 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 13+ 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1116007,-453490231] |
[a1,a2,a3,a4,a6] |
j |
153717917580143894848753/151299256317640704 |
j-invariant |
L |
5.5820289336348 |
L(r)(E,1)/r! |
Ω |
0.14689549825462 |
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 |
119574n1 |
Quadratic twists by: -3 |