Atkin-Lehner |
2+ 3- 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170q |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
96880 |
Modular degree for the optimal curve |
Δ |
-1454549154570 = -1 · 2 · 36 · 5 · 235 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 3 0 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2676,-23662] |
[a1,a2,a3,a4,a6] |
j |
2906452424511/1995266330 |
j-invariant |
L |
2.4093806469142 |
L(r)(E,1)/r! |
Ω |
0.48187612693093 |
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 |
7130g1 |
Quadratic twists by: -3 |