Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400dn |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
132131250000 = 24 · 36 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1800,-23625] |
[a1,a2,a3,a4,a6] |
Generators |
[3940:20125:64] |
Generators of the group modulo torsion |
j |
3538944/725 |
j-invariant |
L |
7.1392165792578 |
L(r)(E,1)/r! |
Ω |
0.74351377824317 |
Real period |
R |
4.8009981827759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26100k1 11600y1 20880cg1 |
Quadratic twists by: -4 -3 5 |