Atkin-Lehner |
2+ 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53742i |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1462272 |
Modular degree for the optimal curve |
Δ |
-3.7179423562858E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,832997,-20744410] |
[a1,a2,a3,a4,a6] |
Generators |
[398:36301:8] |
Generators of the group modulo torsion |
j |
13243252505373071/7702692102144 |
j-invariant |
L |
6.9860860412451 |
L(r)(E,1)/r! |
Ω |
0.12155031452507 |
Real period |
R |
3.5921780974897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4134g1 |
Quadratic twists by: 13 |