Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5772c |
Isogeny class |
Conductor |
5772 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
816 |
Modular degree for the optimal curve |
Δ |
-369408 = -1 · 28 · 3 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,135] |
[a1,a2,a3,a4,a6] |
j |
-65536000/1443 |
j-invariant |
L |
3.0157808056342 |
L(r)(E,1)/r! |
Ω |
3.0157808056342 |
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 |
23088k1 92352j1 17316b1 75036f1 |
Quadratic twists by: -4 8 -3 13 |