Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965r |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
53752725140625 = 34 · 56 · 76 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18744,921001] |
[a1,a2,a3,a4,a6] |
j |
6189976379881/456890625 |
j-invariant |
L |
2.4677910427374 |
L(r)(E,1)/r! |
Ω |
0.61694776068435 |
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 |
41895bx2 69825v2 285c2 |
Quadratic twists by: -3 5 -7 |