Atkin-Lehner |
2- 3- 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
104940bl |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
573759450000 = 24 · 39 · 55 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -5 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164217,25613849] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:675:1] [233:-25:1] |
Generators of the group modulo torsion |
j |
41988517679467264/49190625 |
j-invariant |
L |
11.993440254029 |
L(r)(E,1)/r! |
Ω |
0.77623463616211 |
Real period |
R |
0.25751320743759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34980a1 |
Quadratic twists by: -3 |