Atkin-Lehner |
2- 3+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37392h |
Isogeny class |
Conductor |
37392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.5600282496356E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-835040,669142656] |
[a1,a2,a3,a4,a6] |
j |
-15721215569103886561/38086627188370338 |
j-invariant |
L |
0.6455444285624 |
L(r)(E,1)/r! |
Ω |
0.16138610713733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4674h2 112176u2 |
Quadratic twists by: -4 -3 |