Atkin-Lehner |
2- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942j |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
5829120 |
Modular degree for the optimal curve |
Δ |
-1.4824716585319E+19 |
Discriminant |
Eigenvalues |
2- 1 2 3 6 5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10821937,-13704837143] |
[a1,a2,a3,a4,a6] |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
9.9885349362641 |
L(r)(E,1)/r! |
Ω |
0.041618895700199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786f1 |
Quadratic twists by: -47 |