Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bs |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2175952486400 = 221 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-936545,-349164257] |
[a1,a2,a3,a4,a6] |
Generators |
[7383:628672:1] |
Generators of the group modulo torsion |
j |
346553430870203929/8300600 |
j-invariant |
L |
3.180884209996 |
L(r)(E,1)/r! |
Ω |
0.15346783067904 |
Real period |
R |
5.1816791113841 |
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 |
24640w2 6160f2 123200fn2 |
Quadratic twists by: -4 8 5 |