Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800cl |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-8043750000 = -1 · 24 · 32 · 58 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,4537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:75:1] |
Generators of the group modulo torsion |
j |
-160000/1287 |
j-invariant |
L |
4.1109411835872 |
L(r)(E,1)/r! |
Ω |
1.1250158219578 |
Real period |
R |
0.30450987934463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800bc1 |
Quadratic twists by: 5 |