Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24528g |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
193415107205376 = 28 · 310 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24452,-1318980] |
[a1,a2,a3,a4,a6] |
j |
6316037053284688/755527762521 |
j-invariant |
L |
3.8477217935866 |
L(r)(E,1)/r! |
Ω |
0.38477217935866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12264f2 98112br2 73584k2 |
Quadratic twists by: -4 8 -3 |