Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424ca |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
431723324729088 = 28 · 36 · 77 · 532 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39530223,95662562490] |
[a1,a2,a3,a4,a6] |
Generators |
[3330:30870:1] |
Generators of the group modulo torsion |
j |
36605303452610058192336/2313332287 |
j-invariant |
L |
8.4813977117941 |
L(r)(E,1)/r! |
Ω |
0.29124210138003 |
Real period |
R |
2.0801049003627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13356e2 5936o2 |
Quadratic twists by: -4 -3 |