Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43560cg |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
412546528017360 = 24 · 37 · 5 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55902,4992581] |
[a1,a2,a3,a4,a6] |
j |
702464/15 |
j-invariant |
L |
4.2505789981259 |
L(r)(E,1)/r! |
Ω |
0.53132237476019 |
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 |
87120bx1 14520b1 43560x1 |
Quadratic twists by: -4 -3 -11 |