Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100be |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-468938484000000 = -1 · 28 · 35 · 56 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81508,8989988] |
[a1,a2,a3,a4,a6] |
Generators |
[164:-246:1] |
Generators of the group modulo torsion |
j |
-14971653224656/117234621 |
j-invariant |
L |
8.8231589643858 |
L(r)(E,1)/r! |
Ω |
0.52874333968424 |
Real period |
R |
0.37082301418207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3444a1 |
Quadratic twists by: 5 |