Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bn |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-2.2378269592825E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -6 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-443517989,3595057300803] |
[a1,a2,a3,a4,a6] |
j |
-588894491652244161881463808/13658611812026920011 |
j-invariant |
L |
3.3135836237523 |
L(r)(E,1)/r! |
Ω |
0.092043989548675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17472bz1 2184d1 52416dm1 122304bm1 |
Quadratic twists by: -4 8 -3 -7 |