Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57528k |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-91256896512 = -1 · 210 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,861,-10802] |
[a1,a2,a3,a4,a6] |
Generators |
[611:15120:1] |
Generators of the group modulo torsion |
j |
94559612/122247 |
j-invariant |
L |
8.5926112677626 |
L(r)(E,1)/r! |
Ω |
0.57263086320806 |
Real period |
R |
3.7513744978317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056j1 19176a1 |
Quadratic twists by: -4 -3 |