Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656v |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
164919888 = 24 · 34 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 1 -1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163,-568] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
12544000/4293 |
j-invariant |
L |
8.8606869338764 |
L(r)(E,1)/r! |
Ω |
1.3726055245185 |
Real period |
R |
1.6138444042252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999481586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328b1 124656l1 |
Quadratic twists by: -4 -7 |