Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524f |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
7.7908275111364E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 0 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1598285,-651021354] |
[a1,a2,a3,a4,a6] |
j |
190633690660864/32892477813 |
j-invariant |
L |
0.81512657476383 |
L(r)(E,1)/r! |
Ω |
0.13585442479644 |
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 |
3588e1 |
Quadratic twists by: -23 |