Atkin-Lehner |
5+ 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86275a |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
68177470703125 = 510 · 72 · 173 · 29 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 3 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17826,823923] |
[a1,a2,a3,a4,a6] |
Generators |
[-3399:29704:27] |
Generators of the group modulo torsion |
j |
64143160225/6981373 |
j-invariant |
L |
9.0469380516285 |
L(r)(E,1)/r! |
Ω |
0.59855498410392 |
Real period |
R |
7.5573157817544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86275w1 |
Quadratic twists by: 5 |