Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32775v |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-3.1199080575831E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -4 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1483367,489013144] |
[a1,a2,a3,a4,a6] |
Generators |
[4478:311362:1] |
Generators of the group modulo torsion |
j |
23101981558964486144/19967411568531915 |
j-invariant |
L |
4.7902072676246 |
L(r)(E,1)/r! |
Ω |
0.11180819826577 |
Real period |
R |
0.76505494963768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325w1 6555d1 |
Quadratic twists by: -3 5 |