Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488z |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
188416 |
Modular degree for the optimal curve |
Δ |
-10694402317872 = -1 · 24 · 33 · 74 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-810,157589] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:399:1] |
Generators of the group modulo torsion |
j |
-136048896000/24755560921 |
j-invariant |
L |
5.89272404738 |
L(r)(E,1)/r! |
Ω |
0.58879844008946 |
Real period |
R |
0.62550310400123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488c1 |
Quadratic twists by: -3 |