Atkin-Lehner |
2- 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53088o |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
8387904 = 26 · 3 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54,-84] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:75:8] |
Generators of the group modulo torsion |
j |
277167808/131061 |
j-invariant |
L |
6.4168004984634 |
L(r)(E,1)/r! |
Ω |
1.8417252422497 |
Real period |
R |
3.4841247496198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53088e1 106176b2 |
Quadratic twists by: -4 8 |