Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600s |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
1931250000 = 24 · 3 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2533,-48188] |
[a1,a2,a3,a4,a6] |
j |
7192182784/7725 |
j-invariant |
L |
0.67298552540835 |
L(r)(E,1)/r! |
Ω |
0.6729835944845 |
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 |
30900h1 24720r1 |
Quadratic twists by: -4 5 |