Atkin-Lehner |
3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185a |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-27189908023138875 = -1 · 312 · 53 · 78 · 71 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 4 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,67114,4238492] |
[a1,a2,a3,a4,a6] |
j |
5799256150016/4716538875 |
j-invariant |
L |
1.452308136565 |
L(r)(E,1)/r! |
Ω |
0.24205135629354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52185p1 |
Quadratic twists by: -7 |