Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400ba |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-944000000 = -1 · 210 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 4 6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,200,1000] |
[a1,a2,a3,a4,a6] |
j |
55296/59 |
j-invariant |
L |
2.0792806090801 |
L(r)(E,1)/r! |
Ω |
1.0396402304568 |
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 |
94400cg1 11800e1 3776j1 |
Quadratic twists by: -4 8 5 |