Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222p |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-63069136623584 = -1 · 25 · 79 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 1 3 7+ -6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2226,380132] |
[a1,a2,a3,a4,a6] |
j |
7217724376967/373190157536 |
j-invariant |
L |
4.7244351311657 |
L(r)(E,1)/r! |
Ω |
0.47244351312754 |
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 |
40222i1 |
Quadratic twists by: 13 |