Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bl |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-389136420864000 = -1 · 215 · 36 · 53 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8544,896256] |
[a1,a2,a3,a4,a6] |
j |
129205871/729000 |
j-invariant |
L |
1.5431519238483 |
L(r)(E,1)/r! |
Ω |
0.3857879760098 |
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 |
10830ba1 86640dg1 |
Quadratic twists by: -4 -19 |