Atkin-Lehner |
2- 3+ 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194v |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
322500772008792 = 23 · 32 · 138 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2109139,-1179857095] |
[a1,a2,a3,a4,a6] |
Generators |
[-839:436:1] |
Generators of the group modulo torsion |
j |
1037622383749641419127217/322500772008792 |
j-invariant |
L |
5.6069718774313 |
L(r)(E,1)/r! |
Ω |
0.12527755278376 |
Real period |
R |
1.8648498716251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75582o6 |
Quadratic twists by: -3 |