Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948o |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
1840539584402064 = 24 · 37 · 77 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54210,-4379787] |
[a1,a2,a3,a4,a6] |
j |
9359695554304/977770521 |
j-invariant |
L |
0.62998513554297 |
L(r)(E,1)/r! |
Ω |
0.31499343682501 |
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 |
18564n1 |
Quadratic twists by: -7 |