Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800bn |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34080 |
Modular degree for the optimal curve |
Δ |
69031250000 = 24 · 59 · 472 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92000,-10740625] |
[a1,a2,a3,a4,a6] |
j |
2755733225472/2209 |
j-invariant |
L |
0.27412750841277 |
L(r)(E,1)/r! |
Ω |
0.27412750841277 |
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 |
4700g1 75200dr1 18800bh1 |
Quadratic twists by: -4 8 5 |