Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200ba |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288768 |
Modular degree for the optimal curve |
Δ |
177447456000 = 28 · 33 · 53 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -5 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29940,-1993900] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:10:1] |
Generators of the group modulo torsion |
j |
3435305444352/205379 |
j-invariant |
L |
4.1615119172057 |
L(r)(E,1)/r! |
Ω |
0.36294278180315 |
Real period |
R |
1.4332534382843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106200g1 106200f1 |
Quadratic twists by: -3 5 |