Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552i |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-832156416 = -1 · 28 · 36 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -4 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-1388] |
[a1,a2,a3,a4,a6] |
Generators |
[26:126:1] |
Generators of the group modulo torsion |
j |
-1024/4459 |
j-invariant |
L |
4.3635888513097 |
L(r)(E,1)/r! |
Ω |
0.71998431261622 |
Real period |
R |
0.25252800505782 |
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 |
13104m1 52416cy1 728d1 45864s1 |
Quadratic twists by: -4 8 -3 -7 |