Atkin-Lehner |
2+ 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74562k |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
126298934578340928 = 26 · 32 · 179 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-233085,39775768] |
[a1,a2,a3,a4,a6] |
j |
58019032533097/5232462912 |
j-invariant |
L |
2.5716363071568 |
L(r)(E,1)/r! |
Ω |
0.32145453319929 |
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 |
4386e1 |
Quadratic twists by: 17 |