Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600bh |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1454080000000000 = -1 · 221 · 510 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -4 5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19167,-1530463] |
[a1,a2,a3,a4,a6] |
j |
304175/568 |
j-invariant |
L |
4.5077741450086 |
L(r)(E,1)/r! |
Ω |
0.25043189463717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600cd1 3550e1 113600bt1 |
Quadratic twists by: -4 8 5 |