Atkin-Lehner |
2- 5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310u |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-24310000 = -1 · 24 · 54 · 11 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17,231] |
[a1,a2,a3,a4,a6] |
j |
573856191/24310000 |
j-invariant |
L |
3.2250197050678 |
L(r)(E,1)/r! |
Ω |
1.6125098525339 |
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 |
121550n1 |
Quadratic twists by: 5 |