Atkin-Lehner |
3+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325l |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1177600 |
Modular degree for the optimal curve |
Δ |
1293606228515625 = 38 · 59 · 29 · 592 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-497950,135028375] |
[a1,a2,a3,a4,a6] |
Generators |
[144018:79043:343] |
Generators of the group modulo torsion |
j |
6991208365100597/662326389 |
j-invariant |
L |
7.9832214478174 |
L(r)(E,1)/r! |
Ω |
0.46258523297248 |
Real period |
R |
8.6289196056154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998442841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128325z1 |
Quadratic twists by: 5 |