Atkin-Lehner |
2+ 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920s |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2360124000000 = -1 · 28 · 33 · 56 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,164,73964] |
[a1,a2,a3,a4,a6] |
j |
1893932336/9219234375 |
j-invariant |
L |
3.8589248386172 |
L(r)(E,1)/r! |
Ω |
0.64315442263655 |
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 |
63960c2 |
Quadratic twists by: -4 |