Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472a |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[402855:22895444:125] |
Generators of the group modulo torsion |
j |
7264187703863/7406095788 |
j-invariant |
L |
4.9745949897169 |
L(r)(E,1)/r! |
Ω |
0.30839696059686 |
Real period |
R |
8.0652464604212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472cw4 546c4 52416bq3 122304ef3 |
Quadratic twists by: -4 8 -3 -7 |