Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424br |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9970200576 = -1 · 212 · 38 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,4912] |
[a1,a2,a3,a4,a6] |
Generators |
[17:81:1] |
Generators of the group modulo torsion |
j |
-262144/3339 |
j-invariant |
L |
7.7021044657799 |
L(r)(E,1)/r! |
Ω |
1.0939562695604 |
Real period |
R |
1.7601490754651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3339a1 17808x1 |
Quadratic twists by: -4 -3 |