Atkin-Lehner |
2- 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576j |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-194739717888 = -1 · 28 · 38 · 23 · 712 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,465,-20878] |
[a1,a2,a3,a4,a6] |
j |
59582000/1043487 |
j-invariant |
L |
3.9240567503935 |
L(r)(E,1)/r! |
Ω |
0.49050718202194 |
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 |
39192b2 |
Quadratic twists by: -3 |