Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400z |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-60416000000 = -1 · 216 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 -6 -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1900,-34000] |
[a1,a2,a3,a4,a6] |
j |
-740772/59 |
j-invariant |
L |
0.71983507209777 |
L(r)(E,1)/r! |
Ω |
0.35991761858335 |
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 |
94400ci1 11800b1 3776k1 |
Quadratic twists by: -4 8 5 |