Atkin-Lehner |
2+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150s |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
3011669439625000000 = 26 · 59 · 75 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-361117,-2166459] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:7584:1] |
Generators of the group modulo torsion |
j |
2666478897672309/1541974753088 |
j-invariant |
L |
3.6724333043001 |
L(r)(E,1)/r! |
Ω |
0.21317255541971 |
Real period |
R |
4.306878641907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73150bt1 |
Quadratic twists by: 5 |