Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cw |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1941463574249472 = -1 · 220 · 33 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25823,-1385377] |
[a1,a2,a3,a4,a6] |
j |
7264187703863/7406095788 |
j-invariant |
L |
3.0455853497636 |
L(r)(E,1)/r! |
Ω |
0.25379877914696 |
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 |
17472a4 4368t4 52416ga3 122304gg3 |
Quadratic twists by: -4 8 -3 -7 |