Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550cl |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
128000 |
Modular degree for the optimal curve |
Δ |
-1106156250000 = -1 · 24 · 34 · 59 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -3 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1013,52017] |
[a1,a2,a3,a4,a6] |
Generators |
[52:349:1] |
Generators of the group modulo torsion |
j |
-58863869/566352 |
j-invariant |
L |
13.953284723619 |
L(r)(E,1)/r! |
Ω |
0.74334114514683 |
Real period |
R |
0.58659493083966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65550p1 |
Quadratic twists by: 5 |