Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104040bs |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-1373038337112030000 = -1 · 24 · 39 · 54 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 6 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,265302,-20295603] |
[a1,a2,a3,a4,a6] |
Generators |
[43218:3190725:8] |
Generators of the group modulo torsion |
j |
940032/625 |
j-invariant |
L |
8.3332908943879 |
L(r)(E,1)/r! |
Ω |
0.15390526020158 |
Real period |
R |
6.7681985906516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999674392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104040h1 104040bx1 |
Quadratic twists by: -3 17 |