Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200bn |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-453874312332000000 = -1 · 28 · 39 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102900,34814500] |
[a1,a2,a3,a4,a6] |
j |
-7168/27 |
j-invariant |
L |
4.1472730377834 |
L(r)(E,1)/r! |
Ω |
0.25920455962185 |
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 |
29400dw1 3528u1 88200db1 |
Quadratic twists by: -3 5 -7 |