Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424b |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-60723965952 = -1 · 212 · 35 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,967,-2919] |
[a1,a2,a3,a4,a6] |
Generators |
[687:18012:1] |
Generators of the group modulo torsion |
j |
24389000000/14825187 |
j-invariant |
L |
5.6456538823862 |
L(r)(E,1)/r! |
Ω |
0.64340786460058 |
Real period |
R |
4.3873056213459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424bf2 23712s1 |
Quadratic twists by: -4 8 |