Atkin-Lehner |
2- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
56180f |
Isogeny class |
Conductor |
56180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1852032 |
Modular degree for the optimal curve |
Δ |
-2.1118486987534E+19 |
Discriminant |
Eigenvalues |
2- 3 5- 2 0 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1637647,-836390986] |
[a1,a2,a3,a4,a6] |
j |
-574992/25 |
j-invariant |
L |
7.1884496401739 |
L(r)(E,1)/r! |
Ω |
0.0665597188932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56180b1 |
Quadratic twists by: 53 |