Atkin-Lehner |
2+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111800d |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-10917968750000 = -1 · 24 · 513 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 6 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5383,-221762] |
[a1,a2,a3,a4,a6] |
Generators |
[34638:378125:216] |
Generators of the group modulo torsion |
j |
-69014050816/43671875 |
j-invariant |
L |
9.7284483084286 |
L(r)(E,1)/r! |
Ω |
0.27093061202206 |
Real period |
R |
4.4884408974132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22360g1 |
Quadratic twists by: 5 |