Atkin-Lehner |
2- 3+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24282g |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
494198602334208 = 218 · 39 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58484,-5323049] |
[a1,a2,a3,a4,a6] |
j |
1123923270367611/25107890176 |
j-invariant |
L |
5.5335507762342 |
L(r)(E,1)/r! |
Ω |
0.30741948756857 |
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 |
24282a1 |
Quadratic twists by: -3 |