Atkin-Lehner |
2- 5- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79550u |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2137906250000 = 24 · 59 · 37 · 432 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7263,227017] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:565:1] |
Generators of the group modulo torsion |
j |
21694295069/1094608 |
j-invariant |
L |
6.8901268307346 |
L(r)(E,1)/r! |
Ω |
0.81373388560662 |
Real period |
R |
2.1168243545961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79550h1 |
Quadratic twists by: 5 |