Atkin-Lehner |
2- 3- 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822be |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5836800 |
Modular degree for the optimal curve |
Δ |
1.7262308913932E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10310099,12586941155] |
[a1,a2,a3,a4,a6] |
j |
166258803536075490478057/2367943609592896272 |
j-invariant |
L |
4.7879348171325 |
L(r)(E,1)/r! |
Ω |
0.14962296458068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274p1 |
Quadratic twists by: -3 |