Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600br |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
65600000000 = 212 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,-24000] |
[a1,a2,a3,a4,a6] |
Generators |
[60:300:1] |
Generators of the group modulo torsion |
j |
8489664/1025 |
j-invariant |
L |
6.3519299231076 |
L(r)(E,1)/r! |
Ω |
0.74938655379484 |
Real period |
R |
2.1190431998765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bt1 32800n1 13120bg1 |
Quadratic twists by: -4 8 5 |