Atkin-Lehner |
3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79497i |
Isogeny class |
Conductor |
79497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
94277161737 = 36 · 116 · 73 |
Discriminant |
Eigenvalues |
1 3- -2 -2 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1293,-9784] |
[a1,a2,a3,a4,a6] |
Generators |
[40:16:1] |
Generators of the group modulo torsion |
j |
185193/73 |
j-invariant |
L |
4.8872069675614 |
L(r)(E,1)/r! |
Ω |
0.82349904771536 |
Real period |
R |
2.9673422113206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8833c1 657d1 |
Quadratic twists by: -3 -11 |