Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550da |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
122244664062500 = 22 · 59 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12888,-190219] |
[a1,a2,a3,a4,a6] |
j |
1030301/532 |
j-invariant |
L |
8.5301377719832 |
L(r)(E,1)/r! |
Ω |
0.47389654288193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46550bj1 6650bd1 |
Quadratic twists by: 5 -7 |