Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600he |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-58752000 = -1 · 210 · 33 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -1 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2913,61497] |
[a1,a2,a3,a4,a6] |
Generators |
[32:5:1] |
Generators of the group modulo torsion |
j |
-21364083968/459 |
j-invariant |
L |
3.6123695837887 |
L(r)(E,1)/r! |
Ω |
1.8260492863971 |
Real period |
R |
0.98912159890168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600em1 20400bo1 81600ju1 |
Quadratic twists by: -4 8 5 |