Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990u |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
Δ |
3225604505610240 = 211 · 38 · 5 · 134 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-66306,5971140] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:3306:1] |
Generators of the group modulo torsion |
j |
32239077731321748769/3225604505610240 |
j-invariant |
L |
7.875351510331 |
L(r)(E,1)/r! |
Ω |
0.4351089945673 |
Real period |
R |
0.10283932522265 |
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 |
127920bg2 47970s2 79950d2 |
Quadratic twists by: -4 -3 5 |