Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743bg |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168448 |
Modular degree for the optimal curve |
Δ |
3471661163817 = 32 · 79 · 112 · 79 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3823,15224] |
[a1,a2,a3,a4,a6] |
j |
153130375/86031 |
j-invariant |
L |
1.3669498524192 |
L(r)(E,1)/r! |
Ω |
0.68347474309855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127743l1 |
Quadratic twists by: -7 |