Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bb |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11466689062500 = 22 · 34 · 58 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25126,1522148] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1316:1] |
Generators of the group modulo torsion |
j |
112266169661521/733868100 |
j-invariant |
L |
4.5469580464171 |
L(r)(E,1)/r! |
Ω |
0.72047313427439 |
Real period |
R |
0.78888403850311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030s2 |
Quadratic twists by: 5 |