Atkin-Lehner |
2+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19040d |
Isogeny class |
Conductor |
19040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
181260800 = 29 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -6 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227,-1146] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:10:1] |
Generators of the group modulo torsion |
j |
2526569928/354025 |
j-invariant |
L |
4.5308395825765 |
L(r)(E,1)/r! |
Ω |
1.2414225484385 |
Real period |
R |
0.91242896874148 |
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 |
19040g2 38080bc2 95200ba2 |
Quadratic twists by: -4 8 5 |