Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610bu |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
16099200 |
Modular degree for the optimal curve |
Δ |
-1.648986906709E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8308459,17229647963] |
[a1,a2,a3,a4,a6] |
Generators |
[1024788:131520847:64] |
Generators of the group modulo torsion |
j |
77756791817934671/202148437500000 |
j-invariant |
L |
8.5869317290692 |
L(r)(E,1)/r! |
Ω |
0.071437591102237 |
Real period |
R |
12.020186577889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610t1 |
Quadratic twists by: 13 |