Atkin-Lehner |
3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543b |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-3790715484827691 = -1 · 39 · 7 · 317 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ -4 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-51894,-5429410] |
[a1,a2,a3,a4,a6] |
j |
-884736/217 |
j-invariant |
L |
0.62455270624106 |
L(r)(E,1)/r! |
Ω |
0.15613817798729 |
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 |
60543a1 1953b1 |
Quadratic twists by: -3 -31 |