Atkin-Lehner |
3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43725n |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-162044986640625 = -1 · 35 · 57 · 115 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11+ -1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13474,-111427] |
[a1,a2,a3,a4,a6] |
j |
17315683851311/10370879145 |
j-invariant |
L |
3.3497017474551 |
L(r)(E,1)/r! |
Ω |
0.3349701747562 |
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 |
8745a1 |
Quadratic twists by: 5 |