Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50600m |
Isogeny class |
Conductor |
50600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
25300000000 = 28 · 58 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3 5- -1 11+ 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2500,-47500] |
[a1,a2,a3,a4,a6] |
j |
17280000/253 |
j-invariant |
L |
4.0546269652479 |
L(r)(E,1)/r! |
Ω |
0.67577116109601 |
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 |
101200o1 50600b1 |
Quadratic twists by: -4 5 |