Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520cl |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
48 |
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] |
Generators |
[277:6975:1] |
Generators of the group modulo torsion |
j |
1060895910599/709593750 |
j-invariant |
L |
6.7415833093075 |
L(r)(E,1)/r! |
Ω |
0.18646649703931 |
Real period |
R |
3.0128662139826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fy2 2610l2 27840r2 |
Quadratic twists by: -4 8 -3 |