Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bk |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
75058679808 = 212 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-28334] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:54:1] |
Generators of the group modulo torsion |
j |
244140625/25137 |
j-invariant |
L |
4.6914684833699 |
L(r)(E,1)/r! |
Ω |
0.73034227329341 |
Real period |
R |
0.80295716387438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1197e1 76608ea1 6384bb1 |
Quadratic twists by: -4 8 -3 |