Atkin-Lehner |
2- 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16492b |
Isogeny class |
Conductor |
16492 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
25440 |
Modular degree for the optimal curve |
Δ |
-974765333248 = -1 · 28 · 7 · 19 · 315 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -4 -6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2291,22575] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1922:1] [113:1318:1] |
Generators of the group modulo torsion |
j |
5192415469568/3807677083 |
j-invariant |
L |
4.3799032477382 |
L(r)(E,1)/r! |
Ω |
0.56075322666934 |
Real period |
R |
0.52071666458989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65968o1 115444e1 |
Quadratic twists by: -4 -7 |