Atkin-Lehner |
2+ 3- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58344c |
Isogeny class |
Conductor |
58344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
14708736 |
Modular degree for the optimal curve |
Δ |
4.3287985420291E+24 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11+ 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47610480,-77268656016] |
[a1,a2,a3,a4,a6] |
j |
11655514380177716143596484/4227342326200281870153 |
j-invariant |
L |
0.71056550760617 |
L(r)(E,1)/r! |
Ω |
0.059213792493563 |
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 |
116688b1 |
Quadratic twists by: -4 |