Atkin-Lehner |
2+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176m |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-44960768 = -1 · 210 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ -1 -4 1 1 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75,181] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] [4:23:1] |
Generators of the group modulo torsion |
j |
44957696/43907 |
j-invariant |
L |
8.0999481051557 |
L(r)(E,1)/r! |
Ω |
1.3296292423176 |
Real period |
R |
1.5229711866681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bo1 7636d1 |
Quadratic twists by: -4 8 |