Atkin-Lehner |
2+ 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52440a |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-745231447440000000 = -1 · 210 · 310 · 57 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -5 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,198344,23789500] |
[a1,a2,a3,a4,a6] |
j |
842711204161659164/727765085390625 |
j-invariant |
L |
0.73957731839382 |
L(r)(E,1)/r! |
Ω |
0.18489432949344 |
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 |
104880p1 |
Quadratic twists by: -4 |