Atkin-Lehner |
3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325q |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.1279891532989E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18232880,20138617122] |
[a1,a2,a3,a4,a6] |
j |
58849388767818408241/18681934953515625 |
j-invariant |
L |
0.36940134761931 |
L(r)(E,1)/r! |
Ω |
0.092350304341045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38775d3 23265n3 |
Quadratic twists by: -3 5 |