Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600dj |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-10612080000000 = -1 · 210 · 33 · 57 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -3 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8633,-349137] |
[a1,a2,a3,a4,a6] |
j |
-4447738624/663255 |
j-invariant |
L |
2.9474236839964 |
L(r)(E,1)/r! |
Ω |
0.24561863642387 |
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 |
81600fz1 5100f1 16320u1 |
Quadratic twists by: -4 8 5 |