Atkin-Lehner |
2+ 3- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970n |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
62581801877190 = 2 · 310 · 5 · 31 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18000,-843534] |
[a1,a2,a3,a4,a6] |
Generators |
[195:1644:1] |
Generators of the group modulo torsion |
j |
884763648288001/85846093110 |
j-invariant |
L |
3.868824122274 |
L(r)(E,1)/r! |
Ω |
0.41474389878093 |
Real period |
R |
0.58301401999388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999991054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990ba3 |
Quadratic twists by: -3 |