Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864bb |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1858700017152 = -1 · 29 · 315 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,-70562] |
[a1,a2,a3,a4,a6] |
j |
-1352899016/4979799 |
j-invariant |
L |
2.7409663707578 |
L(r)(E,1)/r! |
Ω |
0.34262079694767 |
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 |
72864bd1 24288i1 |
Quadratic twists by: -4 -3 |