Atkin-Lehner |
2- 3- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24534w |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
1196162275929624 = 23 · 310 · 293 · 473 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71429,7174757] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:3886:1] |
Generators of the group modulo torsion |
j |
55285875823783177/1640826167256 |
j-invariant |
L |
5.1635758064352 |
L(r)(E,1)/r! |
Ω |
0.48437326257571 |
Real period |
R |
1.7767206289688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8178g2 |
Quadratic twists by: -3 |