Atkin-Lehner |
3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575bd |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
1336405078125 = 36 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2 3- 5- 2 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4125,-85469] |
[a1,a2,a3,a4,a6] |
j |
27258880/4693 |
j-invariant |
L |
4.8217936907076 |
L(r)(E,1)/r! |
Ω |
0.60272421156901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6175g1 55575z1 |
Quadratic twists by: -3 5 |