Atkin-Lehner |
3- 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
52155f |
Isogeny class |
Conductor |
52155 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
3865467825 = 37 · 52 · 19 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-2025] |
[a1,a2,a3,a4,a6] |
j |
13841287201/5302425 |
j-invariant |
L |
4.2821262720252 |
L(r)(E,1)/r! |
Ω |
1.0705315683797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17385h1 |
Quadratic twists by: -3 |