Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856t |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-55279521792 = -1 · 212 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,10816] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-108:1] |
Generators of the group modulo torsion |
j |
2744000/18513 |
j-invariant |
L |
4.6673851570516 |
L(r)(E,1)/r! |
Ω |
0.8119290047997 |
Real period |
R |
0.71856423553022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856y2 107712eg1 17952i2 |
Quadratic twists by: -4 8 -3 |