Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425n |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9433265625 = 32 · 56 · 72 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6476,199973] |
[a1,a2,a3,a4,a6] |
j |
1921886786737/603729 |
j-invariant |
L |
2.5366130726436 |
L(r)(E,1)/r! |
Ω |
1.2683065363218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58275d2 777d2 |
Quadratic twists by: -3 5 |