Atkin-Lehner |
2- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78064h |
Isogeny class |
Conductor |
78064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-5238786359296 = -1 · 230 · 7 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1104,-110656] |
[a1,a2,a3,a4,a6] |
Generators |
[1659:6020:27] |
Generators of the group modulo torsion |
j |
-36363385297/1279000576 |
j-invariant |
L |
9.0161781847405 |
L(r)(E,1)/r! |
Ω |
0.33348760769859 |
Real period |
R |
6.7590054160833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999999208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758g1 |
Quadratic twists by: -4 |