Atkin-Lehner |
2- 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650cy |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
42523595156250000 = 24 · 36 · 510 · 132 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-216938,-37622508] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:1180:1] |
Generators of the group modulo torsion |
j |
72262121427788761/2721510090000 |
j-invariant |
L |
11.049947345907 |
L(r)(E,1)/r! |
Ω |
0.22172837922732 |
Real period |
R |
2.0764796740021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002849 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18330f2 |
Quadratic twists by: 5 |