Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520di |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5195612160000 = 217 · 37 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133932,18865456] |
[a1,a2,a3,a4,a6] |
j |
2780605132562/54375 |
j-invariant |
L |
2.8200565669982 |
L(r)(E,1)/r! |
Ω |
0.70501416192471 |
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 |
83520gm4 10440t3 27840bn4 |
Quadratic twists by: -4 8 -3 |