Atkin-Lehner |
2- 7+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15862c |
Isogeny class |
Conductor |
15862 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-174482 = -1 · 2 · 7 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 1 4 7+ 11+ 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46,118] |
[a1,a2,a3,a4,a6] |
j |
-10779215329/174482 |
j-invariant |
L |
6.4370906738237 |
L(r)(E,1)/r! |
Ω |
3.2185453369119 |
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 |
126896n1 111034f1 |
Quadratic twists by: -4 -7 |