Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800w |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3027600000000 = -1 · 210 · 32 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3592,-10812] |
[a1,a2,a3,a4,a6] |
j |
320251964/189225 |
j-invariant |
L |
3.753720299414 |
L(r)(E,1)/r! |
Ω |
0.46921503742726 |
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 |
17400b2 104400be2 6960c2 |
Quadratic twists by: -4 -3 5 |