Atkin-Lehner |
5+ 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
19285d |
Isogeny class |
Conductor |
19285 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1056000820784875 = -1 · 53 · 76 · 195 · 29 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -2 -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-396551,96261241] |
[a1,a2,a3,a4,a6] |
Generators |
[379:514:1] |
Generators of the group modulo torsion |
j |
-6896392255671084089344/1056000820784875 |
j-invariant |
L |
5.2742119924401 |
L(r)(E,1)/r! |
Ω |
0.47514137366932 |
Real period |
R |
1.8500500709608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96425a1 |
Quadratic twists by: 5 |