Atkin-Lehner |
2+ 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150w |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
320000 |
Modular degree for the optimal curve |
Δ |
32186000000000 = 210 · 59 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40575,3117125] |
[a1,a2,a3,a4,a6] |
Generators |
[3477:4196:27] |
Generators of the group modulo torsion |
j |
3782561367941/16479232 |
j-invariant |
L |
7.0515167524765 |
L(r)(E,1)/r! |
Ω |
0.66084923242182 |
Real period |
R |
5.3351932677562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73150bv1 |
Quadratic twists by: 5 |