Atkin-Lehner |
2+ 3- 13+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934g |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18144000 |
Modular degree for the optimal curve |
Δ |
-2.1122843354084E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 -6 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1025892,-22108959536] |
[a1,a2,a3,a4,a6] |
j |
163795088554066363967/289750937641750196352 |
j-invariant |
L |
0.74325755686441 |
L(r)(E,1)/r! |
Ω |
0.04645362957032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978h1 |
Quadratic twists by: -3 |