Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720ba |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-19667514241843200 = -1 · 239 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 -6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1760336,-899574636] |
[a1,a2,a3,a4,a6] |
j |
-147282356044230283729/4801639219200 |
j-invariant |
L |
1.5728272973666 |
L(r)(E,1)/r! |
Ω |
0.065534470723607 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1590l1 50880cn1 38160bq1 63600bh1 |
Quadratic twists by: -4 8 -3 5 |