Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ef |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
6243334225920000000 = 225 · 39 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -3 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1712855,854849647] |
[a1,a2,a3,a4,a6] |
Generators |
[2179:-87490:1] |
Generators of the group modulo torsion |
j |
14934427706187/167772160 |
j-invariant |
L |
10.586377620902 |
L(r)(E,1)/r! |
Ω |
0.23935237175426 |
Real period |
R |
0.22114628619046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450m1 10890i1 54450n1 |
Quadratic twists by: -3 5 -11 |