Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520fy |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.8203504102382E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1389612,-745261616] |
[a1,a2,a3,a4,a6] |
j |
-1552876541267401/356893992600 |
j-invariant |
L |
4.945488503733 |
L(r)(E,1)/r! |
Ω |
0.068687340364284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cl4 20880cd4 27840dt4 |
Quadratic twists by: -4 8 -3 |