Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81356c |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
47840075554832 = 24 · 11 · 437 |
Discriminant |
Eigenvalues |
2- 2 0 1 11+ 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-366718,-85353675] |
[a1,a2,a3,a4,a6] |
Generators |
[-440999587080:595827307:1259712000] |
Generators of the group modulo torsion |
j |
53925088000/473 |
j-invariant |
L |
10.0667269123 |
L(r)(E,1)/r! |
Ω |
0.19400665497055 |
Real period |
R |
12.972141231223 |
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 |
1892c1 |
Quadratic twists by: -43 |