Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552y |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-2.5490247708077E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -6 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-997915476,-12133817347948] |
[a1,a2,a3,a4,a6] |
j |
-588894491652244161881463808/13658611812026920011 |
j-invariant |
L |
2.6323982083603 |
L(r)(E,1)/r! |
Ω |
0.013430603103879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13104r1 52416dm1 2184d1 45864cc1 |
Quadratic twists by: -4 8 -3 -7 |