Atkin-Lehner |
2+ 3- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24426h |
Isogeny class |
Conductor |
24426 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-14743826712 = -1 · 23 · 310 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 1 -5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-756,-9720] |
[a1,a2,a3,a4,a6] |
j |
-65597103937/20224728 |
j-invariant |
L |
1.7925137011337 |
L(r)(E,1)/r! |
Ω |
0.44812842528344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8142h1 |
Quadratic twists by: -3 |