Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200eb |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
177486776320000 = 214 · 54 · 7 · 195 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80008,8713712] |
[a1,a2,a3,a4,a6] |
Generators |
[148:304:1] |
Generators of the group modulo torsion |
j |
22125312720025/69330772 |
j-invariant |
L |
5.4598130087927 |
L(r)(E,1)/r! |
Ω |
0.57257035861614 |
Real period |
R |
0.47678096906571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650i1 53200bt2 |
Quadratic twists by: -4 5 |