Atkin-Lehner |
2- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450bn |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-256564000 = -1 · 25 · 53 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-145,1057] |
[a1,a2,a3,a4,a6] |
Generators |
[19:60:1] |
Generators of the group modulo torsion |
j |
-2679826869/2052512 |
j-invariant |
L |
8.9581960680181 |
L(r)(E,1)/r! |
Ω |
1.6069489153742 |
Real period |
R |
0.18582204620227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65450o1 |
Quadratic twists by: 5 |