Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840c |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57844540379197440 = 212 · 313 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-508908,139255648] |
[a1,a2,a3,a4,a6] |
j |
4881508724731456/19372019535 |
j-invariant |
L |
1.4152739337522 |
L(r)(E,1)/r! |
Ω |
0.35381848343805 |
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 |
15840x2 31680bs1 5280q2 79200de2 |
Quadratic twists by: -4 8 -3 5 |