Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784h |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
360857020174848 = 29 · 32 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46728,3763404] |
[a1,a2,a3,a4,a6] |
Generators |
[18495:41568:125] |
Generators of the group modulo torsion |
j |
148877000/4761 |
j-invariant |
L |
8.016485372277 |
L(r)(E,1)/r! |
Ω |
0.53470313073756 |
Real period |
R |
7.4962020151638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50784a2 101568bw2 2208g2 |
Quadratic twists by: -4 8 -23 |