Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150br |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
165995385937500 = 22 · 3 · 58 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-283951,58211798] |
[a1,a2,a3,a4,a6] |
Generators |
[177:3586:1] |
Generators of the group modulo torsion |
j |
6481741193568265/424948188 |
j-invariant |
L |
5.5988991138275 |
L(r)(E,1)/r! |
Ω |
0.54444311181195 |
Real period |
R |
0.24485041479226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150bx1 |
Quadratic twists by: 5 |