Atkin-Lehner |
3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655bh |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-203788044918315 = -1 · 310 · 5 · 11 · 137 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 11- 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,14703,29110] |
[a1,a2,a3,a4,a6] |
j |
99897344/57915 |
j-invariant |
L |
1.3543586937273 |
L(r)(E,1)/r! |
Ω |
0.33858967646437 |
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 |
27885g1 6435e1 |
Quadratic twists by: -3 13 |