Atkin-Lehner |
5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19475c |
Isogeny class |
Conductor |
19475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-109851171875 = -1 · 58 · 193 · 41 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 0 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4033,101218] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:237:1] [-28:437:1] |
Generators of the group modulo torsion |
j |
-464404086784/7030475 |
j-invariant |
L |
5.02607820412 |
L(r)(E,1)/r! |
Ω |
1.0582882820743 |
Real period |
R |
0.39577103652936 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3895b1 |
Quadratic twists by: 5 |