Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450cf |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-2.2197105717187E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,271683,-220093659] |
[a1,a2,a3,a4,a6] |
Generators |
[102589:32807768:1] |
Generators of the group modulo torsion |
j |
109902239/1100000 |
j-invariant |
L |
4.6763083064713 |
L(r)(E,1)/r! |
Ω |
0.10584018672957 |
Real period |
R |
5.5228411473221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050z1 10890bu1 4950bh1 |
Quadratic twists by: -3 5 -11 |