Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560ca |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
3063157970528898000 = 24 · 310 · 53 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3719298,2759544997] |
[a1,a2,a3,a4,a6] |
j |
275361373935616/148240125 |
j-invariant |
L |
3.9960969298607 |
L(r)(E,1)/r! |
Ω |
0.24975605811606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120bn1 14520y1 3960c1 |
Quadratic twists by: -4 -3 -11 |