Atkin-Lehner |
2- 5- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310bc |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-49358914848100 = -1 · 22 · 52 · 112 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4072,353519] |
[a1,a2,a3,a4,a6] |
j |
-7465295932151121/49358914848100 |
j-invariant |
L |
4.3714660885652 |
L(r)(E,1)/r! |
Ω |
0.54643326107065 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121550r2 |
Quadratic twists by: 5 |