Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655z |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-3372880836032296875 = -1 · 37 · 56 · 112 · 138 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,151593,-85390250] |
[a1,a2,a3,a4,a6] |
Generators |
[1183:41827:1] |
Generators of the group modulo torsion |
j |
647868416/5671875 |
j-invariant |
L |
4.3925901272437 |
L(r)(E,1)/r! |
Ω |
0.12425168132864 |
Real period |
R |
0.2455024976284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885h1 83655q1 |
Quadratic twists by: -3 13 |