Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990k |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
96003168026136000 = 26 · 3 · 53 · 712 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6266047,6034613509] |
[a1,a2,a3,a4,a6] |
Generators |
[1413:1376:1] |
Generators of the group modulo torsion |
j |
231268521845235080809/816013464000 |
j-invariant |
L |
3.7654381102361 |
L(r)(E,1)/r! |
Ω |
0.2955752157103 |
Real period |
R |
1.0616130599187 |
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 |
74970cu4 124950ia4 3570k4 |
Quadratic twists by: -3 5 -7 |