Atkin-Lehner |
2+ 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15936b |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-658254200832 = -1 · 217 · 36 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2817,-68607] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1904:1] |
Generators of the group modulo torsion |
j |
-18868113794/5022081 |
j-invariant |
L |
4.3354408550979 |
L(r)(E,1)/r! |
Ω |
0.32315732557214 |
Real period |
R |
3.3539707381089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15936x2 1992a2 47808z2 |
Quadratic twists by: -4 8 -3 |