Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270k |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.227542350925E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3974794,-3038200708] |
[a1,a2,a3,a4,a6] |
j |
313337384670961/1456185600 |
j-invariant |
L |
3.8503026544394 |
L(r)(E,1)/r! |
Ω |
0.10695285153919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590p2 |
Quadratic twists by: 53 |