Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424bj |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-599065279488 = -1 · 210 · 38 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1591,-27585] |
[a1,a2,a3,a4,a6] |
Generators |
[58:513:1] |
Generators of the group modulo torsion |
j |
434671630592/585024687 |
j-invariant |
L |
4.830948912786 |
L(r)(E,1)/r! |
Ω |
0.4882890295211 |
Real period |
R |
0.41223440598258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424cd1 2964d1 |
Quadratic twists by: -4 8 |