Atkin-Lehner |
3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775a |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
931392 |
Modular degree for the optimal curve |
Δ |
-4071447469161326925 = -1 · 39 · 52 · 1111 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 1 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-446690,150540742] |
[a1,a2,a3,a4,a6] |
Generators |
[-55270:2048779:125] |
Generators of the group modulo torsion |
j |
-20031348636938835/8274038447719 |
j-invariant |
L |
3.9400438051749 |
L(r)(E,1)/r! |
Ω |
0.23162350076402 |
Real period |
R |
8.5052764372561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775j1 71775k1 |
Quadratic twists by: -3 5 |