Atkin-Lehner |
3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52275g |
Isogeny class |
Conductor |
52275 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
2.339773577414E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10496026,-10824178177] |
[a1,a2,a3,a4,a6] |
Generators |
[-17482:336463:8] |
Generators of the group modulo torsion |
j |
8184239316175927659409/1497455089544975625 |
j-invariant |
L |
7.3550082394452 |
L(r)(E,1)/r! |
Ω |
0.084934709397973 |
Real period |
R |
2.8865341749323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999857 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10455a2 |
Quadratic twists by: 5 |