Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450bl |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-151609218750 = -1 · 2 · 36 · 57 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11+ -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1083,12491] |
[a1,a2,a3,a4,a6] |
j |
9261/10 |
j-invariant |
L |
2.7262057252753 |
L(r)(E,1)/r! |
Ω |
0.68155143161554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050y1 10890by1 54450fe1 |
Quadratic twists by: -3 5 -11 |