Atkin-Lehner |
2- 3+ 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194v |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4464175806702144 = 26 · 34 · 134 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-132379,-18312919] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:436:1] |
Generators of the group modulo torsion |
j |
256555426724011627057/4464175806702144 |
j-invariant |
L |
5.6069718774313 |
L(r)(E,1)/r! |
Ω |
0.25055510556753 |
Real period |
R |
0.93242493581254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75582o3 |
Quadratic twists by: -3 |