Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bw |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-23263801344 = -1 · 212 · 37 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-7310] |
[a1,a2,a3,a4,a6] |
Generators |
[23:90:1] |
Generators of the group modulo torsion |
j |
103823/7791 |
j-invariant |
L |
7.0981851511871 |
L(r)(E,1)/r! |
Ω |
0.5720842270625 |
Real period |
R |
1.5509484476695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3339b1 17808z1 |
Quadratic twists by: -4 -3 |