Atkin-Lehner |
2+ 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770w |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-30096192735000 = -1 · 23 · 39 · 54 · 72 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7776,-5832] |
[a1,a2,a3,a4,a6] |
Generators |
[27:459:1] |
Generators of the group modulo torsion |
j |
71323643930111/41284215000 |
j-invariant |
L |
3.3174980005275 |
L(r)(E,1)/r! |
Ω |
0.39411185555432 |
Real period |
R |
0.5261034960297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590t2 |
Quadratic twists by: -3 |