Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592cb |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-16625664 = -1 · 212 · 32 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11+ 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-329,-2199] |
[a1,a2,a3,a4,a6] |
Generators |
[75:624:1] |
Generators of the group modulo torsion |
j |
-964430272/4059 |
j-invariant |
L |
8.406030846642 |
L(r)(E,1)/r! |
Ω |
0.560210518128 |
Real period |
R |
3.7512821396863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592dr1 43296s1 |
Quadratic twists by: -4 8 |