Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bb |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
308572031250 = 2 · 38 · 57 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-401376,97842148] |
[a1,a2,a3,a4,a6] |
Generators |
[368:-108:1] |
Generators of the group modulo torsion |
j |
457674096098484721/19748610 |
j-invariant |
L |
4.5469580464171 |
L(r)(E,1)/r! |
Ω |
0.72047313427439 |
Real period |
R |
1.5777680770062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030s4 |
Quadratic twists by: 5 |