Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104m |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-5432469046240752 = -1 · 24 · 39 · 297 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 3 -7 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32799,4219297] |
[a1,a2,a3,a4,a6] |
j |
-562432/783 |
j-invariant |
L |
3.0905134314903 |
L(r)(E,1)/r! |
Ω |
0.38631410443687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60552r1 40368n1 4176j1 |
Quadratic twists by: -4 -3 29 |