Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45540p |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-811522800 = -1 · 24 · 36 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -1 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2577,-50371] |
[a1,a2,a3,a4,a6] |
j |
-162262983424/69575 |
j-invariant |
L |
1.3401079256176 |
L(r)(E,1)/r! |
Ω |
0.33502698145095 |
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 |
5060d1 |
Quadratic twists by: -3 |