Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810db |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
567 |
Product of Tamagawa factors cp |
deg |
10342080 |
Modular degree for the optimal curve |
Δ |
2.4536807368053E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25271271,-48315564855] |
[a1,a2,a3,a4,a6] |
j |
105093573726037969/1444738498560 |
j-invariant |
L |
4.245655081426 |
L(r)(E,1)/r! |
Ω |
0.067391350719764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75810n1 |
Quadratic twists by: -19 |