Atkin-Lehner |
3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
15867b |
Isogeny class |
Conductor |
15867 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64574185818843 = 312 · 414 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1504971,711000990] |
[a1,a2,a3,a4,a6] |
Generators |
[1505166:1606704:2197] |
Generators of the group modulo torsion |
j |
517107385177082187697/88579130067 |
j-invariant |
L |
6.9069798058571 |
L(r)(E,1)/r! |
Ω |
0.48784419116973 |
Real period |
R |
7.0790837842057 |
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 |
5289e3 |
Quadratic twists by: -3 |