Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18600s |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
69750000000000 = 210 · 32 · 512 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13408,446812] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:900:1] |
Generators of the group modulo torsion |
j |
16662038116/4359375 |
j-invariant |
L |
4.5533214820321 |
L(r)(E,1)/r! |
Ω |
0.5765672081786 |
Real period |
R |
1.9743238157856 |
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 |
37200r2 55800u2 3720d2 |
Quadratic twists by: -4 -3 5 |