Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728be |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
637239534514128 = 24 · 312 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89670,-10263589] |
[a1,a2,a3,a4,a6] |
j |
58107136000/464373 |
j-invariant |
L |
2.2081931791885 |
L(r)(E,1)/r! |
Ω |
0.2760241416544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864bo1 30576i1 13104x1 |
Quadratic twists by: -4 -3 -7 |