Atkin-Lehner |
11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
116699a |
Isogeny class |
Conductor |
116699 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
-13134575261819 = -1 · 11 · 1036 |
Discriminant |
Eigenvalues |
-2 1 -1 -2 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3536,-193418] |
[a1,a2,a3,a4,a6] |
Generators |
[1682:68958:1] [5060:10577:64] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
6.2398922467273 |
L(r)(E,1)/r! |
Ω |
0.28748294482842 |
Real period |
R |
5.426315164078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999919587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11a3 |
Quadratic twists by: -103 |