Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368bm |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53706240 |
Modular degree for the optimal curve |
Δ |
1.2461877132815E+28 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-608365380,-2123739847852] |
[a1,a2,a3,a4,a6] |
j |
472355845220224000/236393522034597 |
j-invariant |
L |
1.1528547707312 |
L(r)(E,1)/r! |
Ω |
0.03202375525583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456a1 109368bl1 |
Quadratic twists by: -3 -7 |