Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320r |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-401344243200 = -1 · 29 · 312 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 5 -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,864,-29160] |
[a1,a2,a3,a4,a6] |
j |
139152888568/783875475 |
j-invariant |
L |
1.8999955552467 |
L(r)(E,1)/r! |
Ω |
0.47499888881166 |
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 |
28320w1 56640dc1 84960t1 |
Quadratic twists by: -4 8 -3 |