Atkin-Lehner |
7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
5719a |
Isogeny class |
Conductor |
5719 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-4672423 = -1 · 7 · 192 · 432 |
Discriminant |
Eigenvalues |
-1 0 -4 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38,40] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
6219352719/4672423 |
j-invariant |
L |
1.5992463732218 |
L(r)(E,1)/r! |
Ω |
1.5611932457768 |
Real period |
R |
1.0243743864176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91504c1 51471m1 40033a1 108661a1 |
Quadratic twists by: -4 -3 -7 -19 |