Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19344j |
Isogeny class |
Conductor |
19344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
6091967232 = 28 · 310 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2068,36700] |
[a1,a2,a3,a4,a6] |
Generators |
[922:9177:8] |
Generators of the group modulo torsion |
j |
3822481042000/23796747 |
j-invariant |
L |
4.1237833300264 |
L(r)(E,1)/r! |
Ω |
1.3505615653799 |
Real period |
R |
6.1067683780359 |
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 |
4836c2 77376bp2 58032x2 |
Quadratic twists by: -4 8 -3 |