Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370x |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-33990649022500 = -1 · 22 · 54 · 172 · 196 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -2 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4505,-253343] |
[a1,a2,a3,a4,a6] |
Generators |
[1550:21763:8] |
Generators of the group modulo torsion |
j |
214921799/722500 |
j-invariant |
L |
14.54776669287 |
L(r)(E,1)/r! |
Ω |
0.33388282428227 |
Real period |
R |
5.4464342109066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
170a2 |
Quadratic twists by: -19 |