Atkin-Lehner |
2- 3+ 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950cl |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
792000 |
Modular degree for the optimal curve |
Δ |
2779336800000000 = 211 · 35 · 58 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-422138,105361031] |
[a1,a2,a3,a4,a6] |
Generators |
[185:5707:1] |
Generators of the group modulo torsion |
j |
21297424453581505/7115102208 |
j-invariant |
L |
8.3926241671123 |
L(r)(E,1)/r! |
Ω |
0.44451851159037 |
Real period |
R |
0.28606451456096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950bj1 |
Quadratic twists by: 5 |