Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925ba |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
107397931640625 = 38 · 59 · 172 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13167,302616] |
[a1,a2,a3,a4,a6] |
Generators |
[4:498:1] |
Generators of the group modulo torsion |
j |
22164361129/9428625 |
j-invariant |
L |
8.4235061827058 |
L(r)(E,1)/r! |
Ω |
0.53705349665521 |
Real period |
R |
1.9605836008317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999480186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36975ba1 22185n1 |
Quadratic twists by: -3 5 |