Atkin-Lehner |
2+ 3+ 5+ 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890b |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
82802250000 = 24 · 35 · 56 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6733,-215027] |
[a1,a2,a3,a4,a6] |
Generators |
[738:19567:1] |
Generators of the group modulo torsion |
j |
33763723619018329/82802250000 |
j-invariant |
L |
3.1487166511839 |
L(r)(E,1)/r! |
Ω |
0.52711212463623 |
Real period |
R |
5.9735234763372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670cj1 |
Quadratic twists by: -3 |