Atkin-Lehner |
3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
54315f |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
587776 |
Modular degree for the optimal curve |
Δ |
-7667323508671875 = -1 · 314 · 57 · 172 · 71 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 0 5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-162543,-25572627] |
[a1,a2,a3,a4,a6] |
j |
-651479864163291136/10517590546875 |
j-invariant |
L |
4.2757622353575 |
L(r)(E,1)/r! |
Ω |
0.11877117320883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105h1 |
Quadratic twists by: -3 |