Atkin-Lehner |
5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71485a |
Isogeny class |
Conductor |
71485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
1466239486265 = 5 · 17 · 297 |
Discriminant |
Eigenvalues |
1 2 5+ 0 4 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42908,3402707] |
[a1,a2,a3,a4,a6] |
Generators |
[4010094:33035453:19683] |
Generators of the group modulo torsion |
j |
14688124849/2465 |
j-invariant |
L |
9.5400043027689 |
L(r)(E,1)/r! |
Ω |
0.82360555038422 |
Real period |
R |
11.583220023839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2465a1 |
Quadratic twists by: 29 |