Atkin-Lehner |
2+ 3- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
28386a |
Isogeny class |
Conductor |
28386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-22367259648 = -1 · 210 · 36 · 192 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -1 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17712,-902912] |
[a1,a2,a3,a4,a6] |
j |
-842971295994625/30682112 |
j-invariant |
L |
0.82767636110635 |
L(r)(E,1)/r! |
Ω |
0.20691909027636 |
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 |
3154c1 |
Quadratic twists by: -3 |