Atkin-Lehner |
2- 3- 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870bg |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
72040149056250000 = 24 · 312 · 58 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22952057,-42317657719] |
[a1,a2,a3,a4,a6] |
Generators |
[6741:327154:1] |
Generators of the group modulo torsion |
j |
1834260472958762257883209/98820506250000 |
j-invariant |
L |
11.316657250498 |
L(r)(E,1)/r! |
Ω |
0.068975388312164 |
Real period |
R |
5.1271264666065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290d2 |
Quadratic twists by: -3 |