Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655y |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-6643553161881796875 = -1 · 36 · 57 · 11 · 139 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 11+ 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,65403,123843242] |
[a1,a2,a3,a4,a6] |
Generators |
[832:27462:1] |
Generators of the group modulo torsion |
j |
8792838144/1888046875 |
j-invariant |
L |
3.461834417795 |
L(r)(E,1)/r! |
Ω |
0.18329710434476 |
Real period |
R |
0.33725831138287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999763269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9295d1 6435l1 |
Quadratic twists by: -3 13 |