Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fe |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
85404229453125000 = 23 · 312 · 510 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-198005,-30811003] |
[a1,a2,a3,a4,a6] |
j |
75370704203521/7497765000 |
j-invariant |
L |
5.4665681958076 |
L(r)(E,1)/r! |
Ω |
0.22777367357675 |
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 |
28050bf2 16830q2 |
Quadratic twists by: -3 5 |