Atkin-Lehner |
2+ 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566d |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
14030065728 = 26 · 36 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12600,539136] |
[a1,a2,a3,a4,a6] |
Generators |
[45:234:1] |
Generators of the group modulo torsion |
j |
221253017454015625/14030065728 |
j-invariant |
L |
3.0615407594078 |
L(r)(E,1)/r! |
Ω |
1.1886123045057 |
Real period |
R |
0.64393174035855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528bg1 40698bl1 94962o1 |
Quadratic twists by: -4 -3 -7 |