Atkin-Lehner |
2- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
53300c |
Isogeny class |
Conductor |
53300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
914844531250000 = 24 · 511 · 134 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1066300,423803625] |
[a1,a2,a3,a4,a6] |
Generators |
[640:-1875:1] |
Generators of the group modulo torsion |
j |
536317454166736896/3659378125 |
j-invariant |
L |
5.7835591482298 |
L(r)(E,1)/r! |
Ω |
0.44460642832154 |
Real period |
R |
1.0840222535102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10660a1 |
Quadratic twists by: 5 |