Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gx |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-5720581195306500096 = -1 · 217 · 39 · 74 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523596,-185763440] |
[a1,a2,a3,a4,a6] |
Generators |
[1077:22351:1] |
Generators of the group modulo torsion |
j |
-166140387034274/59869095867 |
j-invariant |
L |
4.5888489065252 |
L(r)(E,1)/r! |
Ω |
0.087165721935086 |
Real period |
R |
3.290319402043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999671612 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124992bk3 31248w3 41664ej3 |
Quadratic twists by: -4 8 -3 |