Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53724f |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-30836811185136 = -1 · 24 · 35 · 118 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 11- 6 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44810,3675729] |
[a1,a2,a3,a4,a6] |
j |
-2901327616/8991 |
j-invariant |
L |
1.9873135386227 |
L(r)(E,1)/r! |
Ω |
0.6624378460606 |
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 |
53724e1 |
Quadratic twists by: -11 |