Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24180f |
Isogeny class |
Conductor |
24180 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
1547520 = 28 · 3 · 5 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,495] |
[a1,a2,a3,a4,a6] |
j |
850518016/6045 |
j-invariant |
L |
2.6919865333042 |
L(r)(E,1)/r! |
Ω |
2.6919865333043 |
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 |
96720bz1 72540o1 120900k1 |
Quadratic twists by: -4 -3 5 |