Atkin-Lehner |
3- 5+ 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82305b |
Isogeny class |
Conductor |
82305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
50220288765 = 311 · 5 · 312 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ 4 -3 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8733,313933] |
[a1,a2,a3,a4,a6] |
j |
101038424190976/68889285 |
j-invariant |
L |
4.4640993804237 |
L(r)(E,1)/r! |
Ω |
1.1160248583591 |
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 |
27435c1 |
Quadratic twists by: -3 |