Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200h |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.744266189504E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19614033,-33407569937] |
[a1,a2,a3,a4,a6] |
Generators |
[-67299:37000:27] |
Generators of the group modulo torsion |
j |
3259751350395879376/3806353980275 |
j-invariant |
L |
3.0471321849324 |
L(r)(E,1)/r! |
Ω |
0.071744444452305 |
Real period |
R |
5.3090037549618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999506845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200gi4 7700d4 24640k4 |
Quadratic twists by: -4 8 5 |