Atkin-Lehner |
2- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29260l |
Isogeny class |
Conductor |
29260 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-49207083310000 = -1 · 24 · 54 · 72 · 114 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4772,360561] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:665:1] |
Generators of the group modulo torsion |
j |
-751112577662976/3075442706875 |
j-invariant |
L |
5.5498830035212 |
L(r)(E,1)/r! |
Ω |
0.55341479639588 |
Real period |
R |
0.27856757312683 |
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 |
117040by1 |
Quadratic twists by: -4 |