Atkin-Lehner |
2+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
79424c |
Isogeny class |
Conductor |
79424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-10660108828672 = -1 · 233 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 0 2 2 -5 7 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8684,348848] |
[a1,a2,a3,a4,a6] |
j |
-276276047697/40665088 |
j-invariant |
L |
2.7870926393561 |
L(r)(E,1)/r! |
Ω |
0.69677315538062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79424j1 2482e1 |
Quadratic twists by: -4 8 |