Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82128bd |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-4479380879937896448 = -1 · 221 · 316 · 292 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79288,-102216364] |
[a1,a2,a3,a4,a6] |
Generators |
[2540:126846:1] |
Generators of the group modulo torsion |
j |
-13458344190189625/1093598847641088 |
j-invariant |
L |
8.6769829638923 |
L(r)(E,1)/r! |
Ω |
0.10819490696901 |
Real period |
R |
1.2530891013073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266a1 |
Quadratic twists by: -4 |