Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13800u |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-440033148000000 = -1 · 28 · 314 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72708,7589088] |
[a1,a2,a3,a4,a6] |
Generators |
[174:-486:1] |
Generators of the group modulo torsion |
j |
-10627137250000/110008287 |
j-invariant |
L |
6.0754298734912 |
L(r)(E,1)/r! |
Ω |
0.53115968765835 |
Real period |
R |
0.40850170557095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600i1 110400g1 41400l1 552b1 |
Quadratic twists by: -4 8 -3 5 |