Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640cy |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-182052126720 = -1 · 216 · 34 · 5 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3616,84980] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-96:1] |
Generators of the group modulo torsion |
j |
-186169411/6480 |
j-invariant |
L |
5.6399189897871 |
L(r)(E,1)/r! |
Ω |
1.0062916981291 |
Real period |
R |
0.70058202258702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830q1 86640bq1 |
Quadratic twists by: -4 -19 |