Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
124002o |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3306240 |
Modular degree for the optimal curve |
Δ |
-5.4693774502792E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 1 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-476633,1132418233] |
[a1,a2,a3,a4,a6] |
Generators |
[-1141:14348:1] |
Generators of the group modulo torsion |
j |
-1860867/84992 |
j-invariant |
L |
10.188163459899 |
L(r)(E,1)/r! |
Ω |
0.13629688076924 |
Real period |
R |
0.93437239774235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124002c1 1494a1 |
Quadratic twists by: -3 -83 |