Atkin-Lehner |
2- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73892i |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-799215872 = -1 · 28 · 72 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 1 0 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,1364] |
[a1,a2,a3,a4,a6] |
j |
14000/63713 |
j-invariant |
L |
1.2514391500359 |
L(r)(E,1)/r! |
Ω |
1.2514391784905 |
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 |
73892e1 |
Quadratic twists by: -7 |