Atkin-Lehner |
3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24309f |
Isogeny class |
Conductor |
24309 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2295659306215521 = 310 · 372 · 734 |
Discriminant |
Eigenvalues |
1 3- 2 0 -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5323671,4729194072] |
[a1,a2,a3,a4,a6] |
j |
22889160006702530192497/3149052546249 |
j-invariant |
L |
2.8735140997626 |
L(r)(E,1)/r! |
Ω |
0.35918926247032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8103e3 |
Quadratic twists by: -3 |