Atkin-Lehner |
3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271i |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-142878373209 = -1 · 32 · 11 · 137 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 3 -1 11- 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,926,14984] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:88:1] [32:264:1] |
Generators of the group modulo torsion |
j |
18191447/29601 |
j-invariant |
L |
8.1078061721508 |
L(r)(E,1)/r! |
Ω |
0.70499272001418 |
Real period |
R |
1.4375691312234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9867a1 |
Quadratic twists by: 13 |