Atkin-Lehner |
3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15075f |
Isogeny class |
Conductor |
15075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-20605640625 = -1 · 39 · 56 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 5 4 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,-6978] |
[a1,a2,a3,a4,a6] |
j |
-117649/1809 |
j-invariant |
L |
2.0814433207682 |
L(r)(E,1)/r! |
Ω |
0.52036083019206 |
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 |
5025b1 603e1 |
Quadratic twists by: -3 5 |