Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136f |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
50176 = 210 · 72 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 3 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-569,5039] |
[a1,a2,a3,a4,a6] |
j |
406749952 |
j-invariant |
L |
3.0836350639337 |
L(r)(E,1)/r! |
Ω |
3.0836350639337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3136x2 196a2 28224cp2 78400bo2 |
Quadratic twists by: -4 8 -3 5 |