Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24600z |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8608032000 = 28 · 38 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1228,-15548] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:20:1] |
Generators of the group modulo torsion |
j |
6405048848/269001 |
j-invariant |
L |
4.7316414345979 |
L(r)(E,1)/r! |
Ω |
0.80852822843903 |
Real period |
R |
1.4630415080661 |
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 |
49200bk2 73800bi2 24600s2 |
Quadratic twists by: -4 -3 5 |