Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bj |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
39729309350550480 = 24 · 34 · 5 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92175,4873968] |
[a1,a2,a3,a4,a6] |
j |
115060504576/52780005 |
j-invariant |
L |
1.3017897662075 |
L(r)(E,1)/r! |
Ω |
0.32544744242735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320z1 4560c1 |
Quadratic twists by: -4 -19 |