Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810bx |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3447360 |
Modular degree for the optimal curve |
Δ |
-7.8860839740965E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -5 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1436246,-788929321] |
[a1,a2,a3,a4,a6] |
Generators |
[409770182036431848268496617:11808348618121023803543070701:220415861951264682509561] |
Generators of the group modulo torsion |
j |
-53440955929/12862500 |
j-invariant |
L |
5.9021169303183 |
L(r)(E,1)/r! |
Ω |
0.068088420031101 |
Real period |
R |
43.34156180759 |
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 |
75810be1 |
Quadratic twists by: -19 |