Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382cb |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
1079667222084 = 22 · 36 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4016,85231] |
[a1,a2,a3,a4,a6] |
j |
5545233/836 |
j-invariant |
L |
3.3456339544122 |
L(r)(E,1)/r! |
Ω |
0.8364084886276 |
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 |
4598d1 3762f1 |
Quadratic twists by: -3 -11 |