Atkin-Lehner |
2+ 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53592c |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-5719445424 = -1 · 24 · 33 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ -5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-239,-3828] |
[a1,a2,a3,a4,a6] |
j |
-94757435392/357465339 |
j-invariant |
L |
3.3318621492549 |
L(r)(E,1)/r! |
Ω |
0.5553103585019 |
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 |
107184y1 |
Quadratic twists by: -4 |