Atkin-Lehner |
3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655j |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-53679060703125 = -1 · 37 · 57 · 11 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9158,-485598] |
[a1,a2,a3,a4,a6] |
j |
-4079249161/2578125 |
j-invariant |
L |
0.9489561795013 |
L(r)(E,1)/r! |
Ω |
0.23723905826256 |
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 |
27885m1 83655bc1 |
Quadratic twists by: -3 13 |