Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200m |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4873500000000 = -1 · 28 · 33 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,106250] |
[a1,a2,a3,a4,a6] |
j |
-432/361 |
j-invariant |
L |
2.4869426141081 |
L(r)(E,1)/r! |
Ω |
0.62173565352811 |
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 |
68400x2 34200ce2 34200cd2 |
Quadratic twists by: -4 -3 5 |