Atkin-Lehner |
2- 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
47400p |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
9951724800 = 28 · 39 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16988,-846588] |
[a1,a2,a3,a4,a6] |
j |
84721972724560/1554957 |
j-invariant |
L |
1.6727164607965 |
L(r)(E,1)/r! |
Ω |
0.41817911529057 |
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 |
94800u1 47400j1 |
Quadratic twists by: -4 5 |