Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424cv |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-16645824 = -1 · 26 · 34 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-207] |
[a1,a2,a3,a4,a6] |
Generators |
[24:117:1] |
Generators of the group modulo torsion |
j |
-16777216/260091 |
j-invariant |
L |
7.2658600525055 |
L(r)(E,1)/r! |
Ω |
0.94212829133895 |
Real period |
R |
0.96402211345278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424l1 11856x1 |
Quadratic twists by: -4 8 |