Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592v |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-128749142016 = -1 · 218 · 32 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 11- 6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,-41247] |
[a1,a2,a3,a4,a6] |
Generators |
[63:264:1] |
Generators of the group modulo torsion |
j |
-4165509529/491139 |
j-invariant |
L |
6.934001735915 |
L(r)(E,1)/r! |
Ω |
0.3484416597311 |
Real period |
R |
1.6583363726003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592da1 1353c1 |
Quadratic twists by: -4 8 |