Atkin-Lehner |
5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14945d |
Isogeny class |
Conductor |
14945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
53846844340625 = 55 · 710 · 61 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-193796,-32915996] |
[a1,a2,a3,a4,a6] |
j |
6841794706150321/457690625 |
j-invariant |
L |
2.0478945652742 |
L(r)(E,1)/r! |
Ω |
0.22754384058603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74725d1 2135g1 |
Quadratic twists by: 5 -7 |