Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018g |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5299200 |
Modular degree for the optimal curve |
Δ |
-5.3717296559496E+20 |
Discriminant |
Eigenvalues |
2+ 1 2 -2 11- -6 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2177640,1665148758] |
[a1,a2,a3,a4,a6] |
Generators |
[131892:4862715:64] |
Generators of the group modulo torsion |
j |
-8231953/3872 |
j-invariant |
L |
5.1493145248087 |
L(r)(E,1)/r! |
Ω |
0.15355369266503 |
Real period |
R |
2.7945243773153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638u1 128018h1 |
Quadratic twists by: -11 -23 |