Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075a |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-9129106588171875 = -1 · 3 · 56 · 417 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 -5 -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,28017,-4237132] |
[a1,a2,a3,a4,a6] |
Generators |
[752:21012:1] |
Generators of the group modulo torsion |
j |
32768/123 |
j-invariant |
L |
0.84422562873471 |
L(r)(E,1)/r! |
Ω |
0.20865040469954 |
Real period |
R |
0.50576570672119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999985028945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5043c1 3075h1 |
Quadratic twists by: 5 41 |