Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320j |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-407459030000 = -1 · 24 · 54 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 11- 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,30725] |
[a1,a2,a3,a4,a6] |
Generators |
[70:605:1] |
Generators of the group modulo torsion |
j |
-256/14375 |
j-invariant |
L |
6.9430847643034 |
L(r)(E,1)/r! |
Ω |
0.75486498108341 |
Real period |
R |
0.57486147717012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
920d1 |
Quadratic twists by: -11 |