Atkin-Lehner |
2- 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
104580z |
Isogeny class |
Conductor |
104580 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
19584000 |
Modular degree for the optimal curve |
Δ |
3.9565366578281E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1042041432,-12947192167331] |
[a1,a2,a3,a4,a6] |
j |
10728306247000556404009467904/3392092470703125 |
j-invariant |
L |
2.6572248893807 |
L(r)(E,1)/r! |
Ω |
0.026572248663789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34860h1 |
Quadratic twists by: -3 |