Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784i |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18688512 = 29 · 3 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-728,7320] |
[a1,a2,a3,a4,a6] |
Generators |
[138:111:8] |
Generators of the group modulo torsion |
j |
6859000/3 |
j-invariant |
L |
7.491516368197 |
L(r)(E,1)/r! |
Ω |
2.1416718562516 |
Real period |
R |
3.4979758202858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50784c2 101568bx2 50784j2 |
Quadratic twists by: -4 8 -23 |