Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680bm |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
15348016080 = 24 · 312 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10992,443531] |
[a1,a2,a3,a4,a6] |
j |
12592337649664/1315845 |
j-invariant |
L |
1.1928294021072 |
L(r)(E,1)/r! |
Ω |
1.1928294021072 |
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 |
3420c1 54720eb1 4560l1 68400eg1 |
Quadratic twists by: -4 8 -3 5 |