Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824v |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10221120 |
Modular degree for the optimal curve |
Δ |
-3.8800740497203E+25 |
Discriminant |
Eigenvalues |
2- -1 2 7- -4 -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143081192,-723672357008] |
[a1,a2,a3,a4,a6] |
j |
-279982582954788217/33535104647168 |
j-invariant |
L |
0.086721279793169 |
L(r)(E,1)/r! |
Ω |
0.021680320026838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5978e1 47824c1 |
Quadratic twists by: -4 -7 |