Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dh |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.6585785745614E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8924940,-10326188528] |
[a1,a2,a3,a4,a6] |
Generators |
[5612012744097269280:-690401711140448699924:356476236467625] |
Generators of the group modulo torsion |
j |
-11108001800138902875/79947274872976 |
j-invariant |
L |
4.4659761057985 |
L(r)(E,1)/r! |
Ω |
0.043654753200142 |
Real period |
R |
25.575543200523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608m2 19152bg2 76608dg4 |
Quadratic twists by: -4 8 -3 |