Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120c |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-267605856000 = -1 · 28 · 34 · 53 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1204,-19404] |
[a1,a2,a3,a4,a6] |
j |
753359810096/1045335375 |
j-invariant |
L |
1.0424667997206 |
L(r)(E,1)/r! |
Ω |
0.52123339986251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240u1 108360bs1 |
Quadratic twists by: -4 -3 |