Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800p |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-57208560768000 = -1 · 210 · 312 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35128,-2548448] |
[a1,a2,a3,a4,a6] |
j |
-37452979934132/446941881 |
j-invariant |
L |
2.7878315009012 |
L(r)(E,1)/r! |
Ω |
0.17423946880617 |
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 |
17400s2 104400cm2 34800bo2 |
Quadratic twists by: -4 -3 5 |