Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232bo |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
5839568800579584 = 228 · 37 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101811,-11950990] |
[a1,a2,a3,a4,a6] |
j |
39085920587953/1955659776 |
j-invariant |
L |
3.2172091544263 |
L(r)(E,1)/r! |
Ω |
0.26810076286891 |
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 |
3654f1 116928es1 9744k1 |
Quadratic twists by: -4 8 -3 |