Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
104580w |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
379669323600 = 24 · 39 · 52 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1812,-1591] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:83:1] |
Generators of the group modulo torsion |
j |
56409309184/32550525 |
j-invariant |
L |
6.6891836337891 |
L(r)(E,1)/r! |
Ω |
0.79824444808034 |
Real period |
R |
1.3966447771246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34860c1 |
Quadratic twists by: -3 |