Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040bc |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2675972505600 = 218 · 34 · 52 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136320,-19417932] |
[a1,a2,a3,a4,a6] |
Generators |
[12972:138250:27] |
Generators of the group modulo torsion |
j |
68398358989207681/653313600 |
j-invariant |
L |
7.197193310465 |
L(r)(E,1)/r! |
Ω |
0.24846180947032 |
Real period |
R |
7.2417500760057 |
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 |
2130k2 68160ce2 51120bb2 85200ci2 |
Quadratic twists by: -4 8 -3 5 |