Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cj |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
212751360 = 210 · 37 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3432,77384] |
[a1,a2,a3,a4,a6] |
j |
5988775936/285 |
j-invariant |
L |
3.3476331214338 |
L(r)(E,1)/r! |
Ω |
1.6738165614258 |
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 |
54720eo1 6840f1 18240i1 |
Quadratic twists by: -4 8 -3 |