Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144bc |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-4612694083974144 = -1 · 210 · 33 · 72 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235851,-44207338] |
[a1,a2,a3,a4,a6] |
Generators |
[3843712226905:55651504580148:5783534875] |
Generators of the group modulo torsion |
j |
-1070969436979596/3404825447 |
j-invariant |
L |
8.7713424097228 |
L(r)(E,1)/r! |
Ω |
0.10829974952809 |
Real period |
R |
20.247836324514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144i1 81144z1 |
Quadratic twists by: -3 -7 |