Atkin-Lehner |
2+ 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568m |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24832 |
Modular degree for the optimal curve |
Δ |
2168656 = 24 · 7 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 6 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91,-298] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:17:8] |
Generators of the group modulo torsion |
j |
5266130944/135541 |
j-invariant |
L |
4.6705903435366 |
L(r)(E,1)/r! |
Ω |
1.5467641903613 |
Real period |
R |
1.5097939256648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999688476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63784a1 |
Quadratic twists by: -4 |