Atkin-Lehner |
2- 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920bj |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3744315229599E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4288040,-3411632400] |
[a1,a2,a3,a4,a6] |
Generators |
[20010:310365:8] |
Generators of the group modulo torsion |
j |
2128826899255075243561/3355545710351250 |
j-invariant |
L |
7.0460863479954 |
L(r)(E,1)/r! |
Ω |
0.10492426931166 |
Real period |
R |
8.3942521546774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000224261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990j2 |
Quadratic twists by: -4 |