Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520ba |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-51209754063667200 = -1 · 240 · 34 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71856,13148244] |
[a1,a2,a3,a4,a6] |
j |
-10017490085065009/12502381363200 |
j-invariant |
L |
2.5726575683197 |
L(r)(E,1)/r! |
Ω |
0.32158219603996 |
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 |
690g1 22080cg1 16560br1 27600bg1 |
Quadratic twists by: -4 8 -3 5 |