Atkin-Lehner |
3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575x |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.2148507716592E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3938630,3004917122] |
[a1,a2,a3,a4,a6] |
j |
593214295178117521/1066535656875 |
j-invariant |
L |
1.8050943297234 |
L(r)(E,1)/r! |
Ω |
0.22563679079948 |
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 |
18525o3 11115d4 |
Quadratic twists by: -3 5 |