Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13800a |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
429235200 = 210 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248,1212] |
[a1,a2,a3,a4,a6] |
Generators |
[26:108:1] |
Generators of the group modulo torsion |
j |
66158980/16767 |
j-invariant |
L |
4.2685926669603 |
L(r)(E,1)/r! |
Ω |
1.5697677584642 |
Real period |
R |
0.67981276910933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600z1 110400cz1 41400bw1 13800bc1 |
Quadratic twists by: -4 8 -3 5 |