Atkin-Lehner |
2- 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15936o |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-65273856 = -1 · 218 · 3 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -3 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,-191] |
[a1,a2,a3,a4,a6] |
j |
357911/249 |
j-invariant |
L |
2.2153131508194 |
L(r)(E,1)/r! |
Ω |
1.1076565754097 |
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 |
15936l1 3984g1 47808bv1 |
Quadratic twists by: -4 8 -3 |