Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15170l |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
168311652430400 = 26 · 52 · 376 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19271,-820535] |
[a1,a2,a3,a4,a6] |
Generators |
[-2922:2027:27] |
Generators of the group modulo torsion |
j |
791476227099775729/168311652430400 |
j-invariant |
L |
5.0242841658213 |
L(r)(E,1)/r! |
Ω |
0.41130228528875 |
Real period |
R |
6.1077756500844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121360s2 75850a2 |
Quadratic twists by: -4 5 |