Atkin-Lehner |
2- 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
86900m |
Isogeny class |
Conductor |
86900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
1738000 = 24 · 53 · 11 · 79 |
Discriminant |
Eigenvalues |
2- -3 5- -2 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59005,5516725] |
[a1,a2,a3,a4,a6] |
Generators |
[140:-5:1] |
Generators of the group modulo torsion |
j |
11359524709331712/869 |
j-invariant |
L |
3.2780929304659 |
L(r)(E,1)/r! |
Ω |
1.4724001395318 |
Real period |
R |
0.37106001749883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86900l1 |
Quadratic twists by: 5 |