Atkin-Lehner |
2- 3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320ck |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2745024000000 = -1 · 212 · 3 · 56 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3144,42900] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:174:1] |
Generators of the group modulo torsion |
j |
838828609991/670171875 |
j-invariant |
L |
7.1713992863076 |
L(r)(E,1)/r! |
Ω |
0.51999981214202 |
Real period |
R |
3.4477893617185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395b2 |
Quadratic twists by: -4 |