Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6552l |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25575468252751872 = -1 · 211 · 37 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77619,11334958] |
[a1,a2,a3,a4,a6] |
j |
-34639400027234/17130345141 |
j-invariant |
L |
2.8108063215428 |
L(r)(E,1)/r! |
Ω |
0.35135079019285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104v6 52416co5 2184m6 45864n5 |
Quadratic twists by: -4 8 -3 -7 |