Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618bz |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
220752 |
Modular degree for the optimal curve |
Δ |
-5775362115432 = -1 · 23 · 3 · 78 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22002,1259628] |
[a1,a2,a3,a4,a6] |
j |
-204327634273/1001832 |
j-invariant |
L |
6.8646799795957 |
L(r)(E,1)/r! |
Ω |
0.7627422200733 |
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 |
72618bq1 |
Quadratic twists by: -7 |