Atkin-Lehner |
2- 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986q |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1148928 |
Modular degree for the optimal curve |
Δ |
-44178545665739056 = -1 · 24 · 119 · 134 · 41 |
Discriminant |
Eigenvalues |
2- -2 -3 1 11+ 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16277,-10145519] |
[a1,a2,a3,a4,a6] |
Generators |
[252:1205:1] |
Generators of the group modulo torsion |
j |
-202262003/18736016 |
j-invariant |
L |
4.8301187455042 |
L(r)(E,1)/r! |
Ω |
0.15925515322458 |
Real period |
R |
1.8955896466977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128986e1 |
Quadratic twists by: -11 |