Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bh |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-5850316800 = -1 · 214 · 33 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -2 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-3683] |
[a1,a2,a3,a4,a6] |
j |
-640000/14283 |
j-invariant |
L |
1.165219696048 |
L(r)(E,1)/r! |
Ω |
0.58260986163783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ic1 13800o1 110400ey1 |
Quadratic twists by: -4 8 5 |