Atkin-Lehner |
2+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
400f |
Isogeny class |
Conductor |
400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
31250000 = 24 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83,88] |
[a1,a2,a3,a4,a6] |
j |
2048 |
j-invariant |
L |
0.92613506082983 |
L(r)(E,1)/r! |
Ω |
1.8522701216597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
200d1 1600w1 3600v1 400d1 |
Quadratic twists by: -4 8 -3 5 |