Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190cx |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
112326120281700 = 22 · 34 · 52 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119740,15929900] |
[a1,a2,a3,a4,a6] |
j |
39335220262729/23271300 |
j-invariant |
L |
9.3722419180355 |
L(r)(E,1)/r! |
Ω |
0.58576512247311 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630l1 |
Quadratic twists by: 13 |