Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cr |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12773376 |
Modular degree for the optimal curve |
Δ |
7.6895391202327E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11- -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23277942,9422441716] |
[a1,a2,a3,a4,a6] |
Generators |
[-4921:71648:1] |
Generators of the group modulo torsion |
j |
571305535801/314928000 |
j-invariant |
L |
1.9245954213463 |
L(r)(E,1)/r! |
Ω |
0.077960336800208 |
Real period |
R |
6.1717134007196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150ce1 10890bv1 54450gl1 |
Quadratic twists by: -3 5 -11 |