Atkin-Lehner |
2- 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850cb |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122688 |
Modular degree for the optimal curve |
Δ |
-31132918050 = -1 · 2 · 3 · 52 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -6 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,202,8501] |
[a1,a2,a3,a4,a6] |
j |
36450495095/1245316722 |
j-invariant |
L |
5.3104797082941 |
L(r)(E,1)/r! |
Ω |
0.88507995420564 |
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 |
83850bg1 |
Quadratic twists by: 5 |