Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fj |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1510527525491531250 = -1 · 2 · 314 · 56 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,180670,-51259453] |
[a1,a2,a3,a4,a6] |
j |
57258048889007/132611470002 |
j-invariant |
L |
2.2233689702429 |
L(r)(E,1)/r! |
Ω |
0.13896055741413 |
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 |
28050bi3 3366c4 |
Quadratic twists by: -3 5 |