Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93456m |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
39242548224 = 210 · 310 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,-26030] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:32:1] |
Generators of the group modulo torsion |
j |
768400132/52569 |
j-invariant |
L |
6.701083292214 |
L(r)(E,1)/r! |
Ω |
0.74334536377015 |
Real period |
R |
2.2536910938169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46728p1 31152i1 |
Quadratic twists by: -4 -3 |