Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840d |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
803396394155520000 = 212 · 311 · 54 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7274028,-7550982848] |
[a1,a2,a3,a4,a6] |
j |
14254800421166387776/269055826875 |
j-invariant |
L |
1.4708767631636 |
L(r)(E,1)/r! |
Ω |
0.091929797697727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15840l2 31680ea1 5280r2 79200di2 |
Quadratic twists by: -4 8 -3 5 |