Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520fy |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-135605477376000000 = -1 · 219 · 39 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,122388,6504784] |
[a1,a2,a3,a4,a6] |
j |
1060895910599/709593750 |
j-invariant |
L |
4.945488503733 |
L(r)(E,1)/r! |
Ω |
0.20606202109285 |
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 |
83520cl2 20880cd2 27840dt2 |
Quadratic twists by: -4 8 -3 |