Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478j |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2942720 |
Modular degree for the optimal curve |
Δ |
-9.1678272156405E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11+ -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1518840,-1266517458] |
[a1,a2,a3,a4,a6] |
j |
1647212741/3897234 |
j-invariant |
L |
0.32554589110604 |
L(r)(E,1)/r! |
Ω |
0.081386472322966 |
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 |
23826bi1 71478bq1 |
Quadratic twists by: -3 -19 |