Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600i |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
147061250000 = 24 · 57 · 76 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2450,42875] |
[a1,a2,a3,a4,a6] |
j |
55296/5 |
j-invariant |
L |
1.003646014148 |
L(r)(E,1)/r! |
Ω |
1.003646014148 |
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 |
9800ba1 78400gx1 3920d1 400a1 |
Quadratic twists by: -4 8 5 -7 |