Atkin-Lehner |
2- 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53592bb |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
5252338590755300352 = 210 · 318 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4360664,-3504630528] |
[a1,a2,a3,a4,a6] |
j |
8955332773826876214628/5129236905034473 |
j-invariant |
L |
2.8209155480171 |
L(r)(E,1)/r! |
Ω |
0.10447835363748 |
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 |
107184h1 |
Quadratic twists by: -4 |