Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ga |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
42340320000000 = 211 · 37 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9230,-133603] |
[a1,a2,a3,a4,a6] |
Generators |
[129:835:1] [-618:3005:8] |
Generators of the group modulo torsion |
j |
63088729/30720 |
j-invariant |
L |
13.304954311189 |
L(r)(E,1)/r! |
Ω |
0.51158860169304 |
Real period |
R |
0.14776781785878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150be1 10890z1 54450cd1 |
Quadratic twists by: -3 5 -11 |