Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600bs |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-15936000000 = -1 · 212 · 3 · 56 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-2688] |
[a1,a2,a3,a4,a6] |
j |
357911/249 |
j-invariant |
L |
1.4010867958351 |
L(r)(E,1)/r! |
Ω |
0.70054352871135 |
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 |
6225i1 3984g1 |
Quadratic twists by: -4 5 |