Atkin-Lehner |
2- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
70516c |
Isogeny class |
Conductor |
70516 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-376932277504 = -1 · 28 · 176 · 61 |
Discriminant |
Eigenvalues |
2- 0 3 3 1 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,289,29478] |
[a1,a2,a3,a4,a6] |
j |
432/61 |
j-invariant |
L |
4.3989296693088 |
L(r)(E,1)/r! |
Ω |
0.73315494267971 |
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 |
244a1 |
Quadratic twists by: 17 |