Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210v |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
158324327278940160 = 212 · 36 · 5 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315639,65594205] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:65151:8] |
Generators of the group modulo torsion |
j |
988345570681/44994560 |
j-invariant |
L |
4.2215243613636 |
L(r)(E,1)/r! |
Ω |
0.3202622314815 |
Real period |
R |
6.5907308861169 |
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 |
121680fj3 1690f3 76050fd3 1170l3 |
Quadratic twists by: -4 -3 5 13 |