Atkin-Lehner |
2- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75440z |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
178999128134451200 = 216 · 52 · 23 · 416 |
Discriminant |
Eigenvalues |
2- -2 5- -4 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808040,-279101900] |
[a1,a2,a3,a4,a6] |
Generators |
[-500:410:1] |
Generators of the group modulo torsion |
j |
14245014037159123561/43700959017200 |
j-invariant |
L |
3.6873847219166 |
L(r)(E,1)/r! |
Ω |
0.15926538306202 |
Real period |
R |
0.96468565359628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999998058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430e2 |
Quadratic twists by: -4 |