Atkin-Lehner |
3- 7+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51471j |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.0269399630748E+27 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2594888406,50901549510609] |
[a1,a2,a3,a4,a6] |
j |
-2650649113846814005259968477537/1408696794341304845090553 |
j-invariant |
L |
3.1129005170233 |
L(r)(E,1)/r! |
Ω |
0.048639070596746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157j6 |
Quadratic twists by: -3 |