Atkin-Lehner |
2+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
126400ba |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
82837504000000 = 226 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 2 -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13900,454000] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1028:1] [14:512:1] |
Generators of the group modulo torsion |
j |
72511713/20224 |
j-invariant |
L |
8.2377507277727 |
L(r)(E,1)/r! |
Ω |
0.56631788182088 |
Real period |
R |
3.6365400945976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999922987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400bs1 3950f1 5056k1 |
Quadratic twists by: -4 8 5 |