Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450dc |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-83385070312500 = -1 · 22 · 36 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8508,316916] |
[a1,a2,a3,a4,a6] |
j |
3267/4 |
j-invariant |
L |
1.6272294664353 |
L(r)(E,1)/r! |
Ω |
0.40680736612741 |
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 |
6050bp1 54450gv1 54450gw1 |
Quadratic twists by: -3 5 -11 |