Atkin-Lehner |
5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19475f |
Isogeny class |
Conductor |
19475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-304296875 = -1 · 58 · 19 · 41 |
Discriminant |
Eigenvalues |
-2 -3 5+ 0 0 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-325,2406] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:62:1] [-5:62:1] |
Generators of the group modulo torsion |
j |
-242970624/19475 |
j-invariant |
L |
2.4830857316795 |
L(r)(E,1)/r! |
Ω |
1.6902476771941 |
Real period |
R |
0.36726654992368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3895d1 |
Quadratic twists by: 5 |