Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13680i |
Isogeny class |
Conductor |
13680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-211996491580800000 = -1 · 210 · 320 · 55 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125637,14033338] |
[a1,a2,a3,a4,a6] |
j |
293798043977756/283988784375 |
j-invariant |
L |
0.83034467849134 |
L(r)(E,1)/r! |
Ω |
0.20758616962283 |
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 |
6840g1 54720ey1 4560h1 68400bi1 |
Quadratic twists by: -4 8 -3 5 |