Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400o |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-182504652800 = -1 · 221 · 52 · 592 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 5 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,20543] |
[a1,a2,a3,a4,a6] |
j |
-625/27848 |
j-invariant |
L |
3.2295562463045 |
L(r)(E,1)/r! |
Ω |
0.8073890789497 |
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 |
94400bu1 2950b1 94400bi1 |
Quadratic twists by: -4 8 5 |