Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018b |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430848 |
Modular degree for the optimal curve |
Δ |
-239945614471684 = -1 · 22 · 118 · 234 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44006,3641512] |
[a1,a2,a3,a4,a6] |
Generators |
[139:373:1] |
Generators of the group modulo torsion |
j |
-157113/4 |
j-invariant |
L |
5.2723561495003 |
L(r)(E,1)/r! |
Ω |
0.55510355409508 |
Real period |
R |
4.7489843336474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999726901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128018q1 128018c1 |
Quadratic twists by: -11 -23 |