Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450hj |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
792 |
Product of Tamagawa factors cp |
deg |
21466368 |
Modular degree for the optimal curve |
Δ |
-7.2567595552834E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,101453395,115207118997] |
[a1,a2,a3,a4,a6] |
Generators |
[76079:21132120:1] |
Generators of the group modulo torsion |
j |
1182427286584775/743008370688 |
j-invariant |
L |
7.1515156404225 |
L(r)(E,1)/r! |
Ω |
0.038123219689813 |
Real period |
R |
0.23685542665395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150w1 54450cn1 54450dr1 |
Quadratic twists by: -3 5 -11 |