Atkin-Lehner |
2+ 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
73944a |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
226560 |
Modular degree for the optimal curve |
Δ |
1182401841973248 = 211 · 39 · 135 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -2 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28755,-886194] |
[a1,a2,a3,a4,a6] |
j |
65229279750/29332147 |
j-invariant |
L |
0.76477452743396 |
L(r)(E,1)/r! |
Ω |
0.3823872722342 |
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 |
73944l1 |
Quadratic twists by: -3 |