Atkin-Lehner |
2- 3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390bi |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-59357685937500 = -1 · 22 · 36 · 58 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1147,-370663] |
[a1,a2,a3,a4,a6] |
j |
229108583159/81423437500 |
j-invariant |
L |
4.6893739413161 |
L(r)(E,1)/r! |
Ω |
0.29308589757606 |
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 |
12710k2 |
Quadratic twists by: -3 |