Atkin-Lehner |
3- 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571k |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14388376506530481 = 34 · 710 · 132 · 612 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-634747,194509160] |
[a1,a2,a3,a4,a6] |
Generators |
[449:53:1] |
Generators of the group modulo torsion |
j |
240401672983364257/122299182369 |
j-invariant |
L |
6.5775299841276 |
L(r)(E,1)/r! |
Ω |
0.39010392388803 |
Real period |
R |
4.2152421334436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977949 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16653g2 |
Quadratic twists by: -7 |