Atkin-Lehner |
2- 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984cc |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-18805161984 = -1 · 221 · 3 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-6591] |
[a1,a2,a3,a4,a6] |
j |
-1771561/71736 |
j-invariant |
L |
2.137563542581 |
L(r)(E,1)/r! |
Ω |
0.53439088125092 |
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 |
81984y1 20496x1 |
Quadratic twists by: -4 8 |