Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
105120u |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
766324800 = 26 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5493,-156692] |
[a1,a2,a3,a4,a6] |
Generators |
[104:630:1] |
Generators of the group modulo torsion |
j |
392866508224/16425 |
j-invariant |
L |
6.8447536004307 |
L(r)(E,1)/r! |
Ω |
0.55455962118774 |
Real period |
R |
3.0856707481608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105120e1 35040h1 |
Quadratic twists by: -4 -3 |