Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600du |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
88128000000 = 212 · 34 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45833,3761463] |
[a1,a2,a3,a4,a6] |
Generators |
[73:900:1] |
Generators of the group modulo torsion |
j |
166375000000/1377 |
j-invariant |
L |
8.5510584573249 |
L(r)(E,1)/r! |
Ω |
0.9664229046883 |
Real period |
R |
1.1060192198725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600bd1 40800h1 3264c1 |
Quadratic twists by: -4 8 5 |