Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152bz |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
457624430936064 = 215 · 37 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-904251,330963050] |
[a1,a2,a3,a4,a6] |
Generators |
[551:70:1] |
Generators of the group modulo torsion |
j |
27384399945278713/153257496 |
j-invariant |
L |
4.6250434672122 |
L(r)(E,1)/r! |
Ω |
0.46819490681104 |
Real period |
R |
2.4696143635533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2394k3 76608ew4 6384y3 |
Quadratic twists by: -4 8 -3 |