Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210n |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
31668693849000000 = 26 · 38 · 56 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-507285,138930741] |
[a1,a2,a3,a4,a6] |
j |
4102915888729/9000000 |
j-invariant |
L |
1.4839295213368 |
L(r)(E,1)/r! |
Ω |
0.3709823803342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121680dz6 5070v6 76050fb6 90c6 |
Quadratic twists by: -4 -3 5 13 |