Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cc |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-8105139302137031250 = -1 · 2 · 323 · 57 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,487912,39465042] |
[a1,a2,a3,a4,a6] |
j |
822106589215161671/518728915336770 |
j-invariant |
L |
6.6633413297671 |
L(r)(E,1)/r! |
Ω |
0.14485524683075 |
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 |
16530a1 |
Quadratic twists by: 5 |