Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24552k |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3137156352 = 28 · 33 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375,-742] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-132:1] |
Generators of the group modulo torsion |
j |
843750000/453871 |
j-invariant |
L |
6.0289447778489 |
L(r)(E,1)/r! |
Ω |
1.1549202646595 |
Real period |
R |
0.65252824830578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104b2 24552a2 |
Quadratic twists by: -4 -3 |