Atkin-Lehner |
5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88145a |
Isogeny class |
Conductor |
88145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
2127606019505 = 5 · 178 · 61 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-530803,148982322] |
[a1,a2,a3,a4,a6] |
Generators |
[252:5457:1] |
Generators of the group modulo torsion |
j |
685219199317281/88145 |
j-invariant |
L |
3.5999241833691 |
L(r)(E,1)/r! |
Ω |
0.64110052819995 |
Real period |
R |
5.6152257231823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5185a1 |
Quadratic twists by: 17 |