Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448p |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
193019904 |
Modular degree for the optimal curve |
Δ |
-3.6825958064383E+32 |
Discriminant |
Eigenvalues |
2- 3- -1 1 1 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31286336043,-2321500509341386] |
[a1,a2,a3,a4,a6] |
Generators |
[436159631994717:1540290533638451372:34965783] |
Generators of the group modulo torsion |
j |
-4536911881900487510212279980964/493317553803140692381488669 |
j-invariant |
L |
5.9405532003427 |
L(r)(E,1)/r! |
Ω |
0.0056412396000437 |
Real period |
R |
21.938710953915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27816d1 |
Quadratic twists by: -3 |