Atkin-Lehner |
3+ 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743l |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
29508633 = 32 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78,-78] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:14:1] |
Generators of the group modulo torsion |
j |
153130375/86031 |
j-invariant |
L |
3.177902309223 |
L(r)(E,1)/r! |
Ω |
1.7279395382285 |
Real period |
R |
0.91956411163281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997997747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743bg1 |
Quadratic twists by: -7 |