Atkin-Lehner |
2+ 3+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
41208a |
Isogeny class |
Conductor |
41208 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
838080 |
Modular degree for the optimal curve |
Δ |
5960708613869303808 = 211 · 35 · 179 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 4 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1666728,820402668] |
[a1,a2,a3,a4,a6] |
j |
250027751026762663250/2910502252865871 |
j-invariant |
L |
2.1621435285768 |
L(r)(E,1)/r! |
Ω |
0.24023816983405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82416c1 123624o1 |
Quadratic twists by: -4 -3 |