Atkin-Lehner |
2- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950q |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
9075725944000000000 = 212 · 59 · 176 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 3 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-521713,-5577969] |
[a1,a2,a3,a4,a6] |
Generators |
[1215:-34608:1] |
Generators of the group modulo torsion |
j |
1005075562981245769/580846460416000 |
j-invariant |
L |
7.4706299915872 |
L(r)(E,1)/r! |
Ω |
0.19419240418268 |
Real period |
R |
0.13357725076821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7990a2 |
Quadratic twists by: 5 |