Atkin-Lehner |
3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775m |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-1076625 = -1 · 33 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-665,6762] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:105:1] [14:0:1] |
Generators of the group modulo torsion |
j |
-9622822383/319 |
j-invariant |
L |
5.4483190377482 |
L(r)(E,1)/r! |
Ω |
2.5772349141504 |
Real period |
R |
0.52850430978215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775t1 71775l1 |
Quadratic twists by: -3 5 |