Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320q |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
23335106641920 = 217 · 312 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58145,5410977] |
[a1,a2,a3,a4,a6] |
Generators |
[5606216:-716633973:343] |
Generators of the group modulo torsion |
j |
165866385031058/178032735 |
j-invariant |
L |
6.9249957978344 |
L(r)(E,1)/r! |
Ω |
0.67255806349762 |
Real period |
R |
10.29650252287 |
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 |
64320cs4 8040e3 |
Quadratic twists by: -4 8 |