Atkin-Lehner |
2- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47824c |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1460160 |
Modular degree for the optimal curve |
Δ |
-3.2980085251216E+20 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ -4 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2920024,2108997652] |
[a1,a2,a3,a4,a6] |
j |
-279982582954788217/33535104647168 |
j-invariant |
L |
0.66555059536086 |
L(r)(E,1)/r! |
Ω |
0.16638764884537 |
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 |
5978a1 47824v1 |
Quadratic twists by: -4 -7 |