Atkin-Lehner |
2+ 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27234a |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-142214293970244 = -1 · 22 · 314 · 174 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12699,-163863] |
[a1,a2,a3,a4,a6] |
j |
310660127569583/195081336036 |
j-invariant |
L |
1.3371209236071 |
L(r)(E,1)/r! |
Ω |
0.3342802309018 |
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 |
9078k4 |
Quadratic twists by: -3 |