Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bs |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-560226944155648000 = -1 · 236 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,145375,-28962977] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1820:1] |
Generators of the group modulo torsion |
j |
1296134247276791/2137096192000 |
j-invariant |
L |
3.180884209996 |
L(r)(E,1)/r! |
Ω |
0.15346783067904 |
Real period |
R |
3.4544527409227 |
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 |
24640w3 6160f3 123200fn3 |
Quadratic twists by: -4 8 5 |