Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920f |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
9453059931600 = 24 · 318 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11118,426283] |
[a1,a2,a3,a4,a6] |
j |
13030353872896/810447525 |
j-invariant |
L |
1.4317679253791 |
L(r)(E,1)/r! |
Ω |
0.71588396272589 |
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 |
21960o1 14640o1 |
Quadratic twists by: -4 -3 |