Atkin-Lehner |
3- 5+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40455k |
Isogeny class |
Conductor |
40455 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
Δ |
-1.0702025850209E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 3 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,535767,-44603987] |
[a1,a2,a3,a4,a6] |
j |
23330500969064321024/14680419547612475 |
j-invariant |
L |
6.5540090909276 |
L(r)(E,1)/r! |
Ω |
0.13108018181804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4495d2 |
Quadratic twists by: -3 |