Atkin-Lehner |
2- 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808u |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-26972013312 = -1 · 28 · 33 · 19 · 593 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 4 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,723,-2313] |
[a1,a2,a3,a4,a6] |
j |
163041370112/105359427 |
j-invariant |
L |
4.0724978288127 |
L(r)(E,1)/r! |
Ω |
0.6787496381335 |
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 |
13452a1 |
Quadratic twists by: -4 |