Atkin-Lehner |
2- 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650ch |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-203120640000000000 = -1 · 222 · 32 · 510 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,128162,-12571708] |
[a1,a2,a3,a4,a6] |
j |
14899829628615911/12999720960000 |
j-invariant |
L |
7.681492663875 |
L(r)(E,1)/r! |
Ω |
0.17457937779097 |
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 |
16530d1 |
Quadratic twists by: 5 |