Atkin-Lehner |
3- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575p |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
-4227416325 = -1 · 39 · 52 · 112 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 11+ -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,332,2117] |
[a1,a2,a3,a4,a6] |
Generators |
[23:137:1] |
Generators of the group modulo torsion |
j |
161851301015/169096653 |
j-invariant |
L |
3.5161898092023 |
L(r)(E,1)/r! |
Ω |
0.91592051379415 |
Real period |
R |
0.21327601614938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58575j1 |
Quadratic twists by: 5 |