Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600bb |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2537261718750000 = -1 · 24 · 310 · 512 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83550,-9606125] |
[a1,a2,a3,a4,a6] |
Generators |
[277942815:-29661631250:24389] |
Generators of the group modulo torsion |
j |
-353912203264/13921875 |
j-invariant |
L |
6.7612870062773 |
L(r)(E,1)/r! |
Ω |
0.14008206056559 |
Real period |
R |
12.066653965146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19800be1 13200r1 7920t1 |
Quadratic twists by: -4 -3 5 |