Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450bv |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6714624479449218750 = -1 · 2 · 36 · 59 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,244458,-115728134] |
[a1,a2,a3,a4,a6] |
Generators |
[129927:1848349:343] |
Generators of the group modulo torsion |
j |
80062991/332750 |
j-invariant |
L |
4.5722388354588 |
L(r)(E,1)/r! |
Ω |
0.11994701807183 |
Real period |
R |
4.7648525459115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bc2 10890bz2 4950bj2 |
Quadratic twists by: -3 5 -11 |