Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bi |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-54282203136 = -1 · 212 · 36 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 -6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4464,-115344] |
[a1,a2,a3,a4,a6] |
j |
-3294646272/18179 |
j-invariant |
L |
1.167764378625 |
L(r)(E,1)/r! |
Ω |
0.29194109502789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3339g1 5936i1 |
Quadratic twists by: -4 -3 |