Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552c |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-23225516391168 = -1 · 28 · 33 · 76 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57951,-5374574] |
[a1,a2,a3,a4,a6] |
j |
-3113886554501616/3360173089 |
j-invariant |
L |
1.8461095629323 |
L(r)(E,1)/r! |
Ω |
0.15384246357769 |
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 |
13104d2 52416be2 6552p2 45864d2 |
Quadratic twists by: -4 8 -3 -7 |