Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bf |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-735582368448000000 = -1 · 212 · 317 · 56 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176533,-50118563] |
[a1,a2,a3,a4,a6] |
Generators |
[653494848:32101203925:262144] |
Generators of the group modulo torsion |
j |
-9506571157504/11493474507 |
j-invariant |
L |
3.2579311092958 |
L(r)(E,1)/r! |
Ω |
0.11132051065002 |
Real period |
R |
14.633112553509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999557512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6675g1 4272e1 |
Quadratic twists by: -4 5 |