Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400cq |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
75645000000 = 26 · 32 · 57 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1158,-7812] |
[a1,a2,a3,a4,a6] |
j |
171879616/75645 |
j-invariant |
L |
3.4087688468943 |
L(r)(E,1)/r! |
Ω |
0.85219217464793 |
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 |
98400n1 19680e1 |
Quadratic twists by: -4 5 |