Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ci |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
200777564160000 = 218 · 36 · 54 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15372,-270864] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:360:1] |
Generators of the group modulo torsion |
j |
2102071041/1050625 |
j-invariant |
L |
7.3086410269873 |
L(r)(E,1)/r! |
Ω |
0.45161176821584 |
Real period |
R |
2.0229325153712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794796 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118080fq2 1845c2 13120l2 |
Quadratic twists by: -4 8 -3 |