Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bt |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-812707151872000000 = -1 · 222 · 56 · 7 · 116 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32255,43326975] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:6400:1] |
Generators of the group modulo torsion |
j |
14156681599871/3100231750000 |
j-invariant |
L |
3.6754404903389 |
L(r)(E,1)/r! |
Ω |
0.21841024924275 |
Real period |
R |
1.4023458541445 |
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 |
24640x3 6160g3 123200fs3 |
Quadratic twists by: -4 8 5 |