Atkin-Lehner |
2+ 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
86320d |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-71818240 = -1 · 210 · 5 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,104,0] |
[a1,a2,a3,a4,a6] |
j |
120320924/70135 |
j-invariant |
L |
2.3490932760073 |
L(r)(E,1)/r! |
Ω |
1.1745466321479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43160h1 |
Quadratic twists by: -4 |