Atkin-Lehner |
2+ 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
80142c |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76608000 |
Modular degree for the optimal curve |
Δ |
1.1049539553651E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 1 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3566459797,80402658008173] |
[a1,a2,a3,a4,a6] |
j |
15547239977415653896579/342422088902148096 |
j-invariant |
L |
0.53335841069854 |
L(r)(E,1)/r! |
Ω |
0.0333349053835 |
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 |
80142r1 |
Quadratic twists by: -19 |