Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234bf |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
273504 |
Modular degree for the optimal curve |
Δ |
308345462204416 = 211 · 710 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124902,-16979740] |
[a1,a2,a3,a4,a6] |
Generators |
[412:1034:1] |
Generators of the group modulo torsion |
j |
762872056177/1091584 |
j-invariant |
L |
13.016038168048 |
L(r)(E,1)/r! |
Ω |
0.25397706951338 |
Real period |
R |
4.6589883069336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234u1 |
Quadratic twists by: -7 |