Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552v |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
55635600384 = 210 · 38 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-4930] |
[a1,a2,a3,a4,a6] |
j |
153091012/74529 |
j-invariant |
L |
1.7784850708598 |
L(r)(E,1)/r! |
Ω |
0.8892425354299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13104o2 52416dc2 2184b2 45864bs2 |
Quadratic twists by: -4 8 -3 -7 |