Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800f |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
6.1297129033E+21 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -1 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9788408,11166003188] |
[a1,a2,a3,a4,a6] |
j |
3241230881441497058/191553528228125 |
j-invariant |
L |
1.0570174866743 |
L(r)(E,1)/r! |
Ω |
0.13212718015194 |
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 |
43400d1 17360f1 |
Quadratic twists by: -4 5 |