Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080o |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-6151680000 = -1 · 212 · 33 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,192,3632] |
[a1,a2,a3,a4,a6] |
j |
7077888/55625 |
j-invariant |
L |
3.9180935456213 |
L(r)(E,1)/r! |
Ω |
0.97952338702389 |
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 |
4005a1 64080p1 |
Quadratic twists by: -4 -3 |