Atkin-Lehner |
2- 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113100o |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
13565952 |
Modular degree for the optimal curve |
Δ |
7.3535906358281E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56888033,165130870188] |
[a1,a2,a3,a4,a6] |
j |
81441631233316171300864/294143625433125 |
j-invariant |
L |
2.7211986465866 |
L(r)(E,1)/r! |
Ω |
0.1700749266716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620a1 |
Quadratic twists by: 5 |