Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800q |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
109831140000000000 = 211 · 311 · 510 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72318675,-236713923250] |
[a1,a2,a3,a4,a6] |
Generators |
[27175530338311102:3124639066891512274:1511767988333] |
Generators of the group modulo torsion |
j |
1793071414868660498/4708125 |
j-invariant |
L |
5.950454811948 |
L(r)(E,1)/r! |
Ω |
0.051771045989015 |
Real period |
R |
28.734472610474 |
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 |
111600s4 18600q4 11160p3 |
Quadratic twists by: -4 -3 5 |