Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360co |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
6711611916240 = 24 · 33 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25055,-1529760] |
[a1,a2,a3,a4,a6] |
j |
924093773824/3565485 |
j-invariant |
L |
4.5546657508486 |
L(r)(E,1)/r! |
Ω |
0.379555505001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cb1 18480a1 |
Quadratic twists by: -4 -7 |