Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992er |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-12872131505856 = -1 · 26 · 39 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38064,-2863586] |
[a1,a2,a3,a4,a6] |
Generators |
[596295:41149777:125] |
Generators of the group modulo torsion |
j |
-130725250859008/275894451 |
j-invariant |
L |
4.0027812222837 |
L(r)(E,1)/r! |
Ω |
0.17087795255103 |
Real period |
R |
11.71239826191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998835028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992dk2 31248bk2 41664dh2 |
Quadratic twists by: -4 8 -3 |