Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bk |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
119964240000 = 27 · 36 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11760,489600] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:1020:1] |
Generators of the group modulo torsion |
j |
179865548102096641/119964240000 |
j-invariant |
L |
6.6383971333616 |
L(r)(E,1)/r! |
Ω |
1.0376133825557 |
Real period |
R |
0.07616376063623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880by2 16830u2 28050c2 61710bj2 |
Quadratic twists by: -4 -3 5 -11 |