Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
126420q |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
79677785250000 = 24 · 32 · 56 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42205,3323650] |
[a1,a2,a3,a4,a6] |
j |
4416899252224/42328125 |
j-invariant |
L |
3.6753558023807 |
L(r)(E,1)/r! |
Ω |
0.6125591290793 |
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 |
18060h1 |
Quadratic twists by: -7 |