Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784w |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6139344388608 = -1 · 29 · 34 · 236 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4056,64440] |
[a1,a2,a3,a4,a6] |
Generators |
[4605:64044:125] |
Generators of the group modulo torsion |
j |
97336/81 |
j-invariant |
L |
3.2479830475106 |
L(r)(E,1)/r! |
Ω |
0.48851594492111 |
Real period |
R |
6.6486735618215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999549 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50784q2 101568be3 96b4 |
Quadratic twists by: -4 8 -23 |