Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205m |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
650496 |
Modular degree for the optimal curve |
Δ |
-80253085836286215 = -1 · 310 · 5 · 437 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24615,13542336] |
[a1,a2,a3,a4,a6] |
Generators |
[-5207640:214826493:64000] |
Generators of the group modulo torsion |
j |
357911/17415 |
j-invariant |
L |
6.6692381505186 |
L(r)(E,1)/r! |
Ω |
0.26015240526736 |
Real period |
R |
6.4089722185026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27735l1 1935k1 |
Quadratic twists by: -3 -43 |