Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ci |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3060633600000000 = 218 · 36 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133452,18574704] |
[a1,a2,a3,a4,a6] |
Generators |
[318:2880:1] |
Generators of the group modulo torsion |
j |
1375407924561/16015625 |
j-invariant |
L |
7.3086410269873 |
L(r)(E,1)/r! |
Ω |
0.45161176821584 |
Real period |
R |
1.0114662576856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080fq4 1845c3 13120l3 |
Quadratic twists by: -4 8 -3 |