Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200cz |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
212779238400000000 = 216 · 32 · 58 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7688008,8202223988] |
[a1,a2,a3,a4,a6] |
j |
785209010066844481/3324675600 |
j-invariant |
L |
2.2256930616381 |
L(r)(E,1)/r! |
Ω |
0.27821163270083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4650a3 111600ev4 7440o4 |
Quadratic twists by: -4 -3 5 |