Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150bi |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
149220176112000 = 27 · 32 · 53 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27696,-1676162] |
[a1,a2,a3,a4,a6] |
Generators |
[-2364:8779:27] |
Generators of the group modulo torsion |
j |
18794999107081133/1193761408896 |
j-invariant |
L |
5.0696409620926 |
L(r)(E,1)/r! |
Ω |
0.37155498711824 |
Real period |
R |
6.8221947462104 |
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 |
72450ew2 24150ca2 |
Quadratic twists by: -3 5 |