Atkin-Lehner |
2- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
58432l |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-59834368 = -1 · 216 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 2 -4 -3 11+ -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-1279] |
[a1,a2,a3,a4,a6] |
Generators |
[23:72:1] |
Generators of the group modulo torsion |
j |
-19307236/913 |
j-invariant |
L |
3.3840784001132 |
L(r)(E,1)/r! |
Ω |
0.61442134221543 |
Real period |
R |
2.753874391608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000426 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58432g1 14608a1 |
Quadratic twists by: -4 8 |