Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bs |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1286400000000 = 214 · 3 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3601,63985] |
[a1,a2,a3,a4,a6] |
j |
315278049616/78515625 |
j-invariant |
L |
1.61266750767 |
L(r)(E,1)/r! |
Ω |
0.80633375591774 |
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 |
64320bf1 16080l1 |
Quadratic twists by: -4 8 |