Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200dz |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-67760000000 = -1 · 210 · 57 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,-9000] |
[a1,a2,a3,a4,a6] |
j |
3538944/4235 |
j-invariant |
L |
2.3600067332028 |
L(r)(E,1)/r! |
Ω |
0.59000145203351 |
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 |
123200cc1 30800bj1 24640bl1 |
Quadratic twists by: -4 8 5 |