Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77924u |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-1565294609648 = -1 · 24 · 74 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,686,60025] |
[a1,a2,a3,a4,a6] |
Generators |
[84:847:1] |
Generators of the group modulo torsion |
j |
1257728/55223 |
j-invariant |
L |
6.6260706358326 |
L(r)(E,1)/r! |
Ω |
0.64123572450597 |
Real period |
R |
0.4305534859464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
644a1 |
Quadratic twists by: -11 |