Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142r |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
2.3486731077798E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 1 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9879390,-11723252796] |
[a1,a2,a3,a4,a6] |
Generators |
[-1980:9738:1] |
Generators of the group modulo torsion |
j |
15547239977415653896579/342422088902148096 |
j-invariant |
L |
13.137969804857 |
L(r)(E,1)/r! |
Ω |
0.08527055809519 |
Real period |
R |
0.2139915662822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80142c1 |
Quadratic twists by: -19 |