Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27300a |
Isogeny class |
Conductor |
27300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2771644230468750000 = -1 · 24 · 3 · 512 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,262467,-61219938] |
[a1,a2,a3,a4,a6] |
j |
7998456195055616/11086576921875 |
j-invariant |
L |
0.81396914724533 |
L(r)(E,1)/r! |
Ω |
0.13566152454092 |
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 |
109200fv3 81900g3 5460e3 |
Quadratic twists by: -4 -3 5 |