Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520fm |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-76278081024000000 = -1 · 215 · 311 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49812,-12580112] |
[a1,a2,a3,a4,a6] |
j |
572200439608/3193171875 |
j-invariant |
L |
1.3803832056212 |
L(r)(E,1)/r! |
Ω |
0.17254790379975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fk2 41760bi2 27840ed2 |
Quadratic twists by: -4 8 -3 |