Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400bk |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-51395862232000 = -1 · 26 · 53 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5105,372400] |
[a1,a2,a3,a4,a6] |
Generators |
[9:572:1] |
Generators of the group modulo torsion |
j |
-1839166147008/6424482779 |
j-invariant |
L |
6.1776916031745 |
L(r)(E,1)/r! |
Ω |
0.55385492581099 |
Real period |
R |
0.61966604077853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400bd1 114400p1 |
Quadratic twists by: -4 5 |