Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890bc |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-8.5812744147011E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 5 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,943933,-272338909] |
[a1,a2,a3,a4,a6] |
j |
127591024063258622231/117712954934172000 |
j-invariant |
L |
6.2968231612633 |
L(r)(E,1)/r! |
Ω |
0.10494705268772 |
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 |
6630i1 99450bl1 |
Quadratic twists by: -3 5 |