Atkin-Lehner |
2- 3+ 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
125904d |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2543616 |
Modular degree for the optimal curve |
Δ |
-1.4617106237963E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 -3 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,231256,178818672] |
[a1,a2,a3,a4,a6] |
Generators |
[51716:1912167:64] |
Generators of the group modulo torsion |
j |
333918833453048663/3568629452627664 |
j-invariant |
L |
8.0411192693651 |
L(r)(E,1)/r! |
Ω |
0.16347204035689 |
Real period |
R |
2.0495653822771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738f1 |
Quadratic twists by: -4 |