Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865t |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-20245462942862115 = -1 · 36 · 5 · 711 · 532 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9408,6854769] |
[a1,a2,a3,a4,a6] |
j |
-1073741824/236054315 |
j-invariant |
L |
1.2537103577935 |
L(r)(E,1)/r! |
Ω |
0.3134274111108 |
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 |
12985b1 16695n1 |
Quadratic twists by: -3 -7 |