Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400bg |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
100440000000000 = 212 · 34 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11633,-31137] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:675:1] |
Generators of the group modulo torsion |
j |
2720547136/1569375 |
j-invariant |
L |
8.7400436192243 |
L(r)(E,1)/r! |
Ω |
0.50129555026594 |
Real period |
R |
2.1793639531312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400d3 14880l2 |
Quadratic twists by: -4 5 |