Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640be |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
88309760000 = 218 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3521,-80321] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:7:1] [-33:32:1] |
Generators of the group modulo torsion |
j |
18420660721/336875 |
j-invariant |
L |
5.1336284679278 |
L(r)(E,1)/r! |
Ω |
0.62044733651445 |
Real period |
R |
2.0685190207953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640p2 6160l2 123200fr2 |
Quadratic twists by: -4 8 5 |