Atkin-Lehner |
2+ 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080l |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1310720 |
Modular degree for the optimal curve |
Δ |
4256842410000000000 = 210 · 314 · 510 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1826787,-945143566] |
[a1,a2,a3,a4,a6] |
j |
903150162226196356/5702431640625 |
j-invariant |
L |
2.5982010831801 |
L(r)(E,1)/r! |
Ω |
0.12991005437982 |
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 |
32040j1 21360a1 |
Quadratic twists by: -4 -3 |