Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150dt |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
48884575781250 = 2 · 39 · 58 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78005,-8359253] |
[a1,a2,a3,a4,a6] |
j |
170676802323/158950 |
j-invariant |
L |
1.1427563739419 |
L(r)(E,1)/r! |
Ω |
0.28568909346587 |
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 |
84150s2 16830g2 |
Quadratic twists by: -3 5 |