Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127072a |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
559360 |
Modular degree for the optimal curve |
Δ |
-19991148252804608 = -1 · 29 · 112 · 199 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 11+ 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11432,6790156] |
[a1,a2,a3,a4,a6] |
Generators |
[-918:15961:8] |
Generators of the group modulo torsion |
j |
1000/121 |
j-invariant |
L |
6.9839337309206 |
L(r)(E,1)/r! |
Ω |
0.29562983406573 |
Real period |
R |
5.9059784145961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127072f1 127072m1 |
Quadratic twists by: -4 -19 |