Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400f |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10092000000000 = 211 · 3 · 59 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17208,-849588] |
[a1,a2,a3,a4,a6] |
j |
140889994/2523 |
j-invariant |
L |
1.669155719781 |
L(r)(E,1)/r! |
Ω |
0.41728892994524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800bn2 52200co2 17400bo2 |
Quadratic twists by: -4 -3 5 |