Atkin-Lehner |
2- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950r |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-354520544687500000 = -1 · 25 · 510 · 176 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,136562,-21044508] |
[a1,a2,a3,a4,a6] |
Generators |
[208:3942:1] |
Generators of the group modulo torsion |
j |
18025739602266599/22689314860000 |
j-invariant |
L |
7.7277249221072 |
L(r)(E,1)/r! |
Ω |
0.16199706706922 |
Real period |
R |
1.590095644305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990b2 |
Quadratic twists by: 5 |