Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320q |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
18524160000 = 214 · 33 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2545,-48143] |
[a1,a2,a3,a4,a6] |
Generators |
[59:60:1] |
Generators of the group modulo torsion |
j |
111310918864/1130625 |
j-invariant |
L |
6.9249957978344 |
L(r)(E,1)/r! |
Ω |
0.67255806349762 |
Real period |
R |
2.5741256307174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cs1 8040e1 |
Quadratic twists by: -4 8 |