Atkin-Lehner |
2- 3- 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bo |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-17137506209771520 = -1 · 212 · 311 · 5 · 23 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-115849103,479969158871] |
[a1,a2,a3,a4,a6] |
j |
-235870814482992153921660841/23508238970880 |
j-invariant |
L |
3.5081154109254 |
L(r)(E,1)/r! |
Ω |
0.21925733639919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40710k2 |
Quadratic twists by: -3 |