Atkin-Lehner |
2- 3+ 5- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530w |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
763848022500 = 22 · 39 · 54 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9182,-333719] |
[a1,a2,a3,a4,a6] |
j |
4349105490267/38807500 |
j-invariant |
L |
3.9038467019997 |
L(r)(E,1)/r! |
Ω |
0.48798083697452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73530b1 |
Quadratic twists by: -3 |