Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400o |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-142310520000000000 = -1 · 212 · 35 · 510 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11+ 3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28333,-18252037] |
[a1,a2,a3,a4,a6] |
j |
-62886400/3557763 |
j-invariant |
L |
2.8701292146989 |
L(r)(E,1)/r! |
Ω |
0.14350646073495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26400g1 52800er1 79200dz1 26400bn1 |
Quadratic twists by: -4 8 -3 5 |