Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675p |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-11568580734375 = -1 · 38 · 56 · 74 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4199,-125377] |
[a1,a2,a3,a4,a6] |
Generators |
[73:719:1] |
Generators of the group modulo torsion |
j |
524191506047/740389167 |
j-invariant |
L |
7.6008500602368 |
L(r)(E,1)/r! |
Ω |
0.38041101365932 |
Real period |
R |
1.2487891036463 |
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 |
74025v3 987b4 |
Quadratic twists by: -3 5 |