Atkin-Lehner |
2+ 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920a |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-27698677500000000 = -1 · 28 · 3 · 510 · 133 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7556,-8008800] |
[a1,a2,a3,a4,a6] |
j |
-186387623108944/108197958984375 |
j-invariant |
L |
3.0308608278988 |
L(r)(E,1)/r! |
Ω |
0.16838115098673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960n2 |
Quadratic twists by: -4 |