Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26520i |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
182931035040000 = 28 · 34 · 54 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31740,2066400] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:2040:1] |
Generators of the group modulo torsion |
j |
13813960087661776/714574355625 |
j-invariant |
L |
6.2008503286978 |
L(r)(E,1)/r! |
Ω |
0.56137195402482 |
Real period |
R |
0.69036784393129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53040o2 79560bm2 |
Quadratic twists by: -4 -3 |