Atkin-Lehner |
2+ 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480i |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9942339840000 = 211 · 3 · 54 · 174 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6376,121940] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:204:1] |
Generators of the group modulo torsion |
j |
13999315367378/4854658125 |
j-invariant |
L |
8.1138137465012 |
L(r)(E,1)/r! |
Ω |
0.66626883662029 |
Real period |
R |
1.522248471951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63240e4 |
Quadratic twists by: -4 |